Last update: Thu Nov 9 02:32:20 MST 2023
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Math
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$+$, 56(12)122201
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$^*$, 51(5)053504, 51(10)103508, 52(1)013510
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$ - 1 $, 53(8)082704
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$ - 1 / 2 $, 52(9)093707
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$ - a / r + b r^2 $, 52(9)092103
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$-Derivations on operators on $, 53(3)033502
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$-{Kamp{\'e} de F{\'e}riet} series and sums of continuous dual $,
52(6)063519
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$-{Leibniz} algebras from lower order ones: From {Lie} triple to {Lie} $,
54(9)093510
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$_0$, 53(10)102503
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$1$, 51(8)082302, 52(1)013514, 52(2)023102, 52(3)032107,
52(4)043502, 52(10)103508, 53(3)033706, 54(3)031506,
54(8)082104, 54(9)091501, 55(1)011703, 56(11)113507
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$^{(1)}$, 51(8)083509
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$ (1 + 1) $, 51(6)063512, 52(10)103504, 54(7)072703, 55(9)091701
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$ 1 + 1 $, 55(6)061704
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$ (1 + 2) $, 53(10)103519, 54(1)013512
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$ 1 + 2 $, 55(9)093304
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$ 1 / 2 $, 51(3)033510, 52(4)043509, 52(10)103508
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$ 1 < \alpha \leq 2 $, 51(12)123523
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$ (1 / p)^{n_q n} $, 52(12)122104
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$ 1 < q < 3 $, 51(6)063304
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$ (1, 0) $, 54(11)113509
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$2$, 13(10)1608--1621, 51(9)093524, 51(10)102203, 51(11)112303,
52(7)073512, 52(7)079901, 52(10)103701, 53(7)073509,
53(12)123522, 54(7)072501, 54(8)081901, 54(10)102104,
55(3)032102, 55(3)033507, 55(6)061701, 55(11)113503,
56(12)121703
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$_2$, 53(8)083303
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$ (2 + 1) $, 51(8)083505, 51(9)093519, 52(2)023504, 52(3)033504,
52(10)103704, 53(6)063503, 54(11)113508
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$ (2 + 1)$, 55(3)032105, 56(1)014101
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$ 2 + 1 $, 51(5)052307, 52(2)023516, 52(7)073505, 52(8)083701
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$ 2 d $, 51(8)082304
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$ 2 N $, 53(8)083701
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$3$, 51(6)063505, 51(11)112303, 52(5)053101, 52(5)053509,
52(10)103510, 52(12)123503, 53(1)012301, 53(7)073103,
54(6)063504, 54(6)063511, 54(8)082103, 54(9)092103,
54(9)093503, 54(11)111503, 55(1)011704, 55(1)012301,
55(2)022104, 55(3)033507, 55(4)041701, 55(4)041704,
55(4)043506, 55(5)053501, 55(11)112701, 55(11)112702,
55(12)121701
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$_3$, 53(5)053502
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$ (3 + 1) $, 53(10)103704
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$ 3 + 1 $, 54(8)081504
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$4$, 51(12)123510, 52(2)022104, 54(7)072703, 55(8)082202
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$ 4 + 2 $, 54(8)081504
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$ 4 d $, 51(8)082304
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$ (4, 4, 0) $, 55(5)052302
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$5$, 51(2)023503, 52(8)083502, 53(12)122503, 54(10)102902
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$ 50 $, 51(1)015101
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$ 6 j $, 54(12)121703
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$9$, 52(3)032105
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$ a = 4 $, 51(8)083507
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$ A, D, E $, 52(2)022501
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$ A_1^{(1)} $, 55(8)081701
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$ A_2^{(1)} $, 55(8)081701
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$ A_2^{(2)} $, 55(8)081701
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$ A^*_3 $, 55(1)012301
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$ A_4^{(1)} $, 53(2)023504
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$ \alpha $, 51(3)033502, 51(10)103505
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$ \alpha * $, 54(7)072301
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$ A_n $, 55(11)113509
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$ and $, 51(10)103517
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$ A_r $, 51(8)082304
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$B$, 51(6)063504, 52(3)032704
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$b$, 51(5)053101, 51(12)123101, 52(3)033101
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$ B^{-1(ln)}_{\infty \infty } + B^{-1 + r, 2 / (1 - r)}_{X_r} + L^2 $,
54(5)051503
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$ B_2 $, 51(9)092302
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$ B^{2, s} $, 54(4)043301
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$ B_3 $, 54(8)083501
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$ \beta $, 51(3)033301, 51(9)093302, 53(9)095221, 53(10)103301,
55(4)043504, 55(8)083302
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$ \beta \gamma $, 51(9)092301
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$ (\beta, q) $, 53(6)063303
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$ B(m, n) $, 53(10)109901
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$ C* $, 55(2)023504
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$ C^* $, 52(5)053501, 53(12)123525
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$C$, 54(2)022101, 55(1)011705
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$ (C, +) $, 54(6)063514
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$ C^1 $, 53(8)082701
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$ C_3 $, 54(8)083501
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$ {\char 91}1, 2 {\char 91} $, 51(6)063304
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$ \chi^2 $, 51(12)122201
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$ C^k $, 55(4)042108
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$D$, 51(3)033303, 51(10)102501, 51(12)123303, 53(4)043513,
53(10)103518, 54(7)073504, 55(6)061703, 56(11)111705
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$d$, 52(9)092103, 52(9)093501, 54(8)082106, 54(10)103501
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$ (D + 1) $, 54(10)103505, 55(4)043508
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$ D = 11 $, 54(5)052302
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$ D = 2 $, 52(5)052105, 52(9)092102, 53(10)102102
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$ D = 4 $, 54(5)052302
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$ (d + s)$, 55(4)041501
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$ \dagger $, 52(8)082104
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$ \ddot {x} + f(x) \dot {x}^2 + g(x) = 0 $, 54(5)053506,
55(5)059901, 57(2)024101, 61(4)044101, 61(4)044102
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$ \delta $, 54(5)052103, 55(1)012106, 55(4)049901
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$ \delta (x) = (1 / 2 \pi) \int_{- \infty }^\infty e^{-ikx} \, d k $,
51(6)063304
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$ \delta (x) = [(2 - q) / 2 \pi] \int_{- \infty }^\infty e_q^{-ikx} \, d k $,
51(6)063304
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$ D_N $, 52(5)052106
-
$ D_n^{(1)} $, 54(4)043301
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$ E_{10} $, 54(9)091701
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$ e_1^{ix} \equiv e^{ix} $, 51(6)063304
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$ E_6 $, 55(2)021703
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$ e_6 $, 54(8)081703
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$ E_7 $, 51(2)023520
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$ E_8 $, 51(2)023520
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$ e^{ikx} $, 51(6)063304
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$ \ell $, 54(9)093506
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$ \epsilon (3) $, 52(1)013504
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$ e_q^{ikx} $, 51(6)063304
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$ e_q^{ix} \equiv [1 + (1 - q) i x]^{1 / (1 - q)} $, 51(6)063304
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$f$, 56(12)122108
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$ F^{\otimes 1 \over 2} $, 55(11)111704
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$ f(R) $, 52(11)112502
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$G$, 54(5)051704, 55(1)011702, 55(9)091703, 55(11)111703
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$ G F(p^\ell) $, 51(5)052102
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$ G_2 $, 51(9)092302, 54(12)122901
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$ G_2 (1) $, 53(1)013510
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$H$, 53(1)012105, 54(1)012103, 54(10)102503
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$h$, 55(10)101501
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$ \hat {\mathbb {P}} $, 51(2)023520
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$ H^n(\mathfrak {osp}(1 |2), M) $, 51(9)093517
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\ifx \undefined \approxeq \let \approxeq = \approx \fi # \ifx \undefined \bold \def \bold #1{{\bf#1}} \fi # \ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi # \ifx \undefined \cprime \def \cprime {$\mathsurround=0pt '$}\fi # \ifx \undefined \dbar \def \dbar {\leavevmode\raise0.2ex\hbox{--}\kern-0.5emd} \fi # \ifx \undefined \Dbar \def \Dbar {\leavevmode\raise0.2ex\hbox{--}\kern-0.5emD} \fi # \ifx \undefined \germ \let \germ = \cal \fi # \ifx \undefined \hslash \let \hslash = \hbar \fi # \ifx \undefined \k \let \k = \c \fi # \ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \fi # \ifx \undefined \mathbf \def \mathbf #1{\hbox{\bf #1}} \fi # \ifx \undefined \mathcal \def \mathcal #1{{\cal #1}}\fi # \ifx \undefined \mathfrak \let \mathfrak = \mathcal \fi # \ifx \undefined \mathit \def \mathit #1{\hbox{\it #1\/}} \fi # \ifx \undefined \mathrm \def \mathrm #1{\hbox{\rm #1}} \fi # \ifx \undefined \mathscr \def \mathscr #1{{\cal #1}}\fi # \ifx \undefined \scr \let \scr = \cal \fi # \ifx \undefined \soft \def \soft {\relax}\fi},
0(0)0--0
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$K$, 51(6)063507
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$k$, 52(2)022901, 53(10)102501, 54(11)113508
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$ \kappa $, 52(5)052303
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$ KdV$, 52(8)083516
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$l$, 51(2)022106, 53(7)072904, 55(10)102901
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$ L^2 $, 52(8)083503, 55(12)121501
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$ L_2 $, 54(12)121509
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$ (L^2, \Gamma, \chi) $, 54(6)063514
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$ \Lambda $, 54(10)102503
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$ L^p $, 51(6)063515, 51(7)073303, 52(8)083101, 54(7)079902
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$M$, 51(9)093517
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$ M_2 (\mathbb {C}) $, 52(3)032202
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$ M_2 \times {}_W \Sigma_{d - 2} $, 54(4)042501
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$ \mathbb {C} P^N $, 56(11)113506
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$ \mathbb {c}H^N $, 53(7)073502
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$ \mathbb {CP}^1 $, 54(4)043503
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$ \mathbb {c}P^N $, 53(7)073502
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$ \mathbb {D}_2 $, 53(10)103708
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$ \mathbb {E}^3 $, 52(11)113506
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$ \mathbb {Q} / \mathbb {Z} $, 52(6)062103
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$ \mathbb {R}^+ $, 51(5)053512
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$ \mathbb {R}^{1 | n} $, 51(4)043504
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$ \mathbb {R}^3 \times M $, 51(12)122104
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$ \mathbb {R}^4 $, 53(1)013103
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$ \mathbb {R}^N $, 54(3)031501
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$ \mathbb {R}^n $, 51(7)073506
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$ \mathbb {Z}^2 $, 54(3)032105
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$ \mathbb {Z}_2 $, 51(5)053525
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$ \mathbb {Z}_3 $, 53(12)123518
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$ \mathbb {z}_{4 m} $, 52(8)083511
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$ {mathbbz}_2 $, 53(2)023516
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$ {\mathfrak e}_6^{(1)} $, 55(2)021703
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$ \mathfrak {f}_4 $, 51(5)053516
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$ \mathfrak {g}_2 $, 51(5)053516
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$ \mathfrak {gl}(m | n) $, 51(9)093523
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$ \mathfrak {sl}_{-1}(2) $, 54(2)023506
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$ \mathfrak {sl}(2 |1) $, 53(8)082302
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$ \mathfrak {sl}(3, \mathbb {C}) $, 52(10)103507
-
$ \mathfrak {sl}(n, \mathbb {C}) $, 52(4)042109
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$ \mathfrak {sp}(4, \mathbb {C}) $, 52(10)103507
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$ M_g $, 52(10)102305
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$N$, 13(10)1608--1621, 51(3)032101, 51(3)032104, 51(4)043511,
51(6)062202, 51(9)093301, 51(11)113507, 52(4)043523,
52(10)103101, 53(6)062901, 53(7)073506, 53(8)083502,
53(10)102105, 53(12)122902, 55(3)032301, 55(8)083302,
55(10)102105
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$_n$, 53(12)123528, 55(10)102704
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$n$, 51(4)042902, 51(5)053507, 51(6)063514, 51(8)082302,
51(10)103507, 51(12)122303, 52(2)023521, 52(10)103506,
52(12)123502, 53(6)062103, 54(5)053501, 55(12)121505
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$ N = (0, 4) $, 51(12)122308
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$ (N + 1) $, 53(7)072902
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$ N = 1 $, 55(6)062104, 55(10)102901
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$ (n + 1) $, 51(3)033521
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$ N = 2 $, 51(3)033501, 51(8)082304, 51(8)083507, 51(8)083513,
53(5)053503, 53(7)072904, 54(1)012301, 54(9)093506
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$ N = (2, 2) $, 55(9)093508
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$ N = 2, 4, 8 $, 53(4)043513
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$ (n + 3) $, 51(10)103507
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$ N = 4 $, 52(1)013514, 53(10)103513, 55(1)012301, 55(5)052302
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$ N = 4, 7, 8 $, 53(10)103518
-
$ N = 5 $, 52(8)083502
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$ n = 5 $, 53(6)062503
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$ N = 6 $, 55(1)011704
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$ N = 6, 8 $, 53(1)012301
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$ N = 8 $, 51(10)102502, 54(7)072902
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$ (N, N') $, 54(4)043511
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$O$, 52(6)063515
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$ { O}(3) $, 52(8)082301
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$p$, 51(5)052702, 53(1)012701, 53(6)063304, 54(1)013702,
55(11)113502, 55(12)121504, 56(11)111503
-
$ p p $, 52(12)122901, 54(2)022502
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$ P T $, 54(11)112106
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$ (p, q; \alpha, \beta, \nu; \gamma) $, 53(1)013504
-
$ \partial $, 51(9)092106
-
$ \Phi^2 $, 51(9)093507
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$ \Phi^{2 k} $, 51(9)092304
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$ \Phi_2^4 $, 53(4)042302
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$ \pi $, 51(6)063304, 53(7)073708, 56(11)112101
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$Q$, 54(6)063510
-
$q$, 51(6)063304, 51(9)092107, 51(9)093301, 51(9)093502,
51(12)123509, 52(6)062203, 52(6)063303, 53(6)063303,
54(6)063507, 55(1)013301, 55(8)081702, 55(8)081707,
55(9)093505
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$ q > 1 $, 51(3)033502, 52(6)062203
-
$ (q, N) $, 54(1)013517
-
$ q^2 $, 54(1)013520
-
$R$, 53(2)022101, 53(8)082302, 53(8)083505, 54(1)012104,
56(11)113508
-
$r$, 51(8)083516, 53(8)083501, 53(12)123528, 54(10)101702,
54(10)103507, 55(8)083507
-
$ (R, p, q) $, 51(6)063518
-
$ R^2 $, 54(9)093511, 55(1)011505
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$ R^3 $, 54(12)121510
-
$ R^6 $, 51(9)093514
-
$ R^d $, 55(1)011702
-
$ \rho $, 53(7)073514
-
$ {\rm AdS}_2 $, 52(10)103508
-
$ {\rm End}_{u_k(2)}(\Omega_k^{ \otimes r}) $, 52(8)083507
-
$ {\rm G}_{2(2)} $, 54(1)013502
-
$ {\rm gl} (m | n)$, 56(12)121703
-
$ {\rm GL}(3, C) $, 55(2)022104
-
$ {\rm gl}(m | n) $, 54(1)013505, 55(1)011703
-
$ {\rm psl}(2 | 2) $, 55(9)091704
-
$ {\rm sh}(2 |2) $, 54(10)103506
-
$ {\rm sl}(2, C) $, 55(2)021701
-
$ {\rm SL}(2, \mathbb {C}) $, 52(1)012501
-
$ {\rm sl}(2, \mathbb {C}) $, 51(9)092301
-
$ {\rm sl}(3, C) $, 54(8)081702
-
$ {\rm sl}(4, \mathbb {C}) $, 52(1)013504
-
$ {\rm sl}(m + 1 | n) $, 55(8)081705
-
$ {\rm sl}(n) $, 53(2)023502
-
$ {\rm SL}(N, \mathbb {C}) $, 52(2)023507
-
$ {\rm sl}(n^k, \mathbb {C}) $, 51(9)092104
-
$ {\rm SO} (4) $, 55(9)093510
-
$ {\rm SO}(10, 2) $, 52(7)072101
-
$ {\rm so}(2, 2 k + 2) $, 54(5)052902
-
$ {\rm so}(3, \mathbb {R}) $, 56(11)111505
-
$ {\rm so}(3, R) $, 54(10)103509
-
$ {\rm SO}(5) $, 51(3)032504, 51(9)093518
-
$ {\rm SO}(8) $, 52(3)032105
-
$ {\rm SO}(9) \times {\rm SU}(2) $, 51(12)122309
-
$ {\rm SO}_q(N) $, 54(8)081701
-
$ {\rm Sp}(m) $, 51(5)053511
-
$ {\rm SU} (1, 1) $, 55(4)042109
-
$ {\rm SU} (2) $, 54(2)022302
-
$ {\rm su} (2, 2) $, 55(9)091705
-
$ {\rm SU} (3) $, 54(2)022302
-
$ {\rm SU} (r) $, 53(12)123303
-
$ {\rm SU}(1, 1) $, 52(1)012501
-
$ {\rm su}(1, 1) $, 51(12)123501, 54(12)122102
-
$ {\rm SU}(2) $, 51(8)082502, 51(12)122309, 51(12)123506,
55(10)101702
-
$ {\rm SU}(2) \otimes {\rm SU}(2) \approxeq {\rm SO} (4) $,
55(9)093510
-
$ {\rm SU}_{2, 1} $, 52(8)082101
-
$ {\rm SU}(2, 2) $, 51(8)082301
-
$ {\rm SU}(3) $, 51(7)072302
-
$ {\rm SU}_3 $, 52(8)082101
-
$ {\rm SU}(6) \supset {\rm SU}(3) \otimes {\rm SU}(2) $,
52(4)043503
-
$ {\rm SU}(8) \supset {\rm SU}(4) \otimes {\rm SU}(2) $,
52(4)043503
-
$ {\rm SU}(N) $, 51(9)093504, 52(2)023507, 52(5)052105,
54(12)122301, 55(1)019903
-
$ {\rm SU}(n) $, 52(5)052104, 56(11)111705
-
$ {\rm SU}(N) \times {\rm SU}(N) $, 52(11)113505
-
$ {\rm U} (2, 2) $, 55(8)081706
-
$ {\rm U}(1) $, 51(6)062303, 51(12)122105, 53(2)022305,
56(12)121504
-
$ {\rm U}(N) $, 51(8)082502, 52(5)052502
-
$ {\rm U}(\Omega) \otimes {\rm SU} (r) $, 53(12)123303
-
$ {\rm U}_q'({\rm so}_3) $, 52(4)043521
-
$ {\rm U}_{q, p}(A_{N - 1}^{(1)}) $, 52(1)013501
-
$ {\rm U}_q(\hat {\mathfrak {sl}}(M + 1 | N + 1)) $, 54(4)043507
-
$ {\rm U}_q[{\rm gl}(2 |1)] $, 52(12)123512
-
$ {\rm U}_q(\widehat {\mathfrak {sl}}(N|1)) $, 53(8)083503
-
$ {\rm U}_q(\widehat {{\rm sl}}(N|1)) $, 53(1)013515
-
$ R^N $, 53(6)063508, 54(8)081508, 54(12)121502, 54(12)121508
-
$S$, 52(6)063502
-
$ s = - 1 $, 53(7)073101
-
$ (S \hat {O}_{(q)}(N), S \hat {p}_{(q)}(N)) $, 54(1)013517
-
$ S^2 $, 53(8)083701, 54(10)101901
-
$ S^3 $, 52(6)063509
-
$ \sigma $, 52(1)013514, 55(9)093504, 56(11)113507
-
$ \sum^d_{i = 1}( - \partial^2_i)^s $, 54(10)103501
-
$T$, 51(6)062304, 55(11)111701, 56(11)112302
-
$ T_0 $, 53(12)122101
-
$ \tau $, 54(10)103513, 55(8)083517
-
$ T_c $, 52(7)073301
-
$ T^d $, 54(8)082702
-
$ \theta $, 51(2)023511
-
$u$, 55(8)081708
-
$ U q'(\widehat {sl}(2)) $, 54(1)013520
-
$ U'_q (\hat {\rm sl}(2)) $, 55(9)093505
-
$V$, 54(8)083304, 56(12)122201
-
$ V_4 $, 51(9)092301
-
$ \varphi $, 54(5)051704
-
$ \varphi^4 $, 53(5)052305, 53(10)102301
-
$ \vartheta $, 52(11)112704
-
$ \vee $, 55(11)113510
-
$W$, 51(2)022303, 51(9)092202, 51(12)123303
-
$ w U^d_{r, s}({\rm osp}(1 | 2 n)) $, 54(12)121704
-
$ W(2, 2) $, 51(2)022303, 54(7)071701
-
$ W_{\infty, p} $, 54(7)073502
-
$ W_\infty^N $, 52(6)063507
-
$ W_{p, p'} $, 53(7)073511
-
$x$, 51(6)063304
-
$ X_2 $, 51(3)032101
-
$ X_m $, 54(12)122104
-
$ Y(\mathfrak {sl}_N) $, 54(2)021701
-
$Z$, 55(4)042502