-
1
-
-
0034340694
-
The non-commutative Weil algebra
-
A. Alekseev and E. Meinrenken, The non-commutative Weil algebra, Invent. Math., 139 (2000), 135-172.
-
(2000)
Invent. Math.
, vol.139
, pp. 135-172
-
-
Alekseev, A.1
Meinrenken, E.2
-
2
-
-
33746918141
-
Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
-
math-ph/0405015
-
T. Arakawa, Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture, math-ph/0405015.
-
-
-
Arakawa, T.1
-
5
-
-
0001056693
-
Vertex algebras, Kac-Moody algebras and the Monster
-
R. Borcherds, Vertex algebras, Kac-Moody algebras and the Monster, Proc. Natl. Acad. Sci. USA, 83 (1986), 3068-3071.
-
(1986)
Proc. Natl. Acad. Sci. USA
, vol.83
, pp. 3068-3071
-
-
Borcherds, R.1
-
7
-
-
21344476587
-
Quantization and representation theory of finite W-algebras
-
J. de Boer and T. Tjin, Quantization and representation theory of finite W-algebras, Comm. Math. Phys., 158 (1993), 485-516.
-
(1993)
Comm. Math. Phys.
, vol.158
, pp. 485-516
-
-
de Boer, J.1
Tjin, T.2
-
8
-
-
0040582769
-
The relation between quantum W-algebras and Lie algebras
-
J. de Boer and T. Tjin, The relation between quantum W-algebras and Lie algebras, Comm. Math. Phys., 160 (1994), 317-332.
-
(1994)
Comm. Math. Phys.
, vol.160
, pp. 317-332
-
-
de Boer, J.1
Tjin, T.2
-
9
-
-
33746928542
-
Good gradings polytopes
-
math.QA/0510205
-
J. Brundan and S.M. Goodwin, Good gradings polytopes, math.QA/0510205.
-
-
-
Brundan, J.1
Goodwin, S.M.2
-
10
-
-
31044448549
-
Shifted Yangians and finite W-algebras
-
to appear
-
J. Brundan and A. Kleshchev, Shifted Yangians and finite W-algebras, Adv. Math., to appear.
-
Adv. Math.
-
-
Brundan, J.1
Kleshchev, A.2
-
11
-
-
54649083840
-
Structure theory of finite conformal algebras
-
A. D'Andrea and V.G. Kac, Structure theory of finite conformal algebras, Selecta Math., 4 (1998), 377-418.
-
(1998)
Selecta Math.
, vol.4
, pp. 377-418
-
-
D'Andrea, A.1
Kac, V.G.2
-
12
-
-
13844299639
-
Freely generated vertex algebras and non-linear Lie conformal algebras
-
A. De Sole and V.G. Kac, Freely generated vertex algebras and non-linear Lie conformal algebras, Comm. Math. Phys., 254 (2005), 659-694.
-
(2005)
Comm. Math. Phys.
, vol.254
, pp. 659-694
-
-
De Sole, A.1
Kac, V.G.2
-
13
-
-
0041176882
-
The Kazhdan-Lusztig conjecture for finite W-algebras
-
K. de Vos and P. van Drel, The Kazhdan-Lusztig conjecture for finite W-algebras, Lett. Math. Phys., 35 (1995), 333-344.
-
(1995)
Lett. Math. Phys.
, vol.35
, pp. 333-344
-
-
de Vos, K.1
van Drel, P.2
-
14
-
-
0032370051
-
Twisted representations of vertex operator algebras
-
C. Dong, H. Li and G. Mason, Twisted representations of vertex operator algebras, Math. Ann., 310 (1998), 571-600.
-
(1998)
Math. Ann.
, vol.310
, pp. 571-600
-
-
Dong, C.1
Li, H.2
Mason, G.3
-
15
-
-
34250120087
-
Lie algebra and the KdV type equations
-
V.G. Drinfeld and V.V. Sokolov, Lie algebra and the KdV type equations, Soviet J. Math., 30 (1985), 1975-2036.
-
(1985)
Soviet J. Math.
, vol.30
, pp. 1975-2036
-
-
Drinfeld, V.G.1
Sokolov, V.V.2
-
16
-
-
33746933003
-
Classification of good gradings of simple Lie algebras
-
math-ph/031203
-
A.G. Elashvili and V.G. Kac, Classification of good gradings of simple Lie algebras, Amer. Math. Soc. Transl. Ser. 2, 213 (2005), 85-104, math-ph/031203.
-
(2005)
Amer. Math. Soc. Transl. Ser.
, vol.2
, Issue.213
, pp. 85-104
-
-
Elashvili, A.G.1
Kac, V.G.2
-
17
-
-
0003348053
-
Vertex algebras and algebraic curves
-
Second edition (2004)
-
E. Frenkel and D. Ben-Zvi, Vertex algebras and algebraic curves, Amer. Math. Soc. Monogr., 88 (2001), Second edition (2004).
-
(2001)
Amer. Math. Soc. Monogr.
, vol.88
-
-
Frenkel, E.1
Ben-Zvi, D.2
-
18
-
-
0001986175
-
Quantization of Drinfeld-Sokolov reduction
-
B.L. Feigin and E. Frenkel, Quantization of Drinfeld-Sokolov reduction, Phys. Lett. B, 246 (1990), 75-81.
-
(1990)
Phys. Lett. B
, vol.246
, pp. 75-81
-
-
Feigin, B.L.1
Frenkel, E.2
-
19
-
-
0010028334
-
Affine Kac-Moody algebras, bosonization and resolutions
-
B.L. Feigin and E. Frenkel, Affine Kac-Moody algebras, bosonization and resolutions, Lett. Math. Phys., 19 (1990), 307-317.
-
(1990)
Lett. Math. Phys.
, vol.19
, pp. 307-317
-
-
Feigin, B.L.1
Frenkel, E.2
-
20
-
-
0001646109
-
Integrals of motions and quantum groups
-
B.L. Feigin and E. Frenkel, Integrals of motions and quantum groups, Lecture Notes in Math., 1620 (1995), 349-418.
-
(1995)
Lecture Notes in Math.
, vol.1620
, pp. 349-418
-
-
Feigin, B.L.1
Frenkel, E.2
-
22
-
-
0000194140
-
Characters and fusion rules for W-algebras via quantized Drinfeld-Sokolov reduction
-
E. Frenkel, V.G. Kac and M. Wakimoto, Characters and fusion rules for W-algebras via quantized Drinfeld-Sokolov reduction, Comm. Math. Phys., 147 (1992), 295-328.
-
(1992)
Comm. Math. Phys.
, vol.147
, pp. 295-328
-
-
Frenkel, E.1
Kac, V.G.2
Wakimoto, M.3
-
23
-
-
0036367944
-
Quantization of Slodowy slices
-
W.L. Gan and V. Ginzburg, Quantization of Slodowy slices, Int. Math. Res. Not., 5 (2002), 243-255.
-
(2002)
Int. Math. Res. Not.
, vol.5
, pp. 243-255
-
-
Gan, W.L.1
Ginzburg, V.2
-
24
-
-
1542508710
-
Gerbes of chiral differential operators II
-
V. Gorbunov, F. Malikov, and V. Schechtman, Gerbes of chiral differential operators II, Invent. Math., 155 (2004), 605-680.
-
(2004)
Invent. Math.
, vol.155
, pp. 605-680
-
-
Gorbunov, V.1
Malikov, F.2
Schechtman, V.3
-
26
-
-
0003259205
-
Vertex algebras for beginners
-
Amer. Math. Soc., Providence, RI Second edition (1998)
-
V.G. Kac, Vertex algebras for beginners, Univ. Lecture Ser. vol 10, Amer. Math. Soc., Providence, RI (1996). Second edition (1998).
-
(1996)
Univ. Lecture Ser.
, vol.10
-
-
Kac, V.G.1
-
27
-
-
0000675963
-
Superconformal current algebras and their unitary representations
-
V.G. Kac and I. Todorov, Superconformal current algebras and their unitary representations, Comm. Math. Phys., 102 (1985), 337-347.
-
(1985)
Comm. Math. Phys.
, vol.102
, pp. 337-347
-
-
Kac, V.G.1
Todorov, I.2
-
28
-
-
0242275987
-
Quantum reduction for affine superalgebras
-
V.G. Kac, S.-S. Roan and M. Wakimoto, Quantum reduction for affine superalgebras, Comm. Math. Phys., 241 (2003), 307-342.
-
(2003)
Comm. Math. Phys.
, vol.241
, pp. 307-342
-
-
Kac, V.G.1
Roan, S.-S.2
Wakimoto, M.3
-
29
-
-
3543060039
-
Quantum reduction and representation theory of superconformal algebras
-
Corrigendum, Adv. Math., 193 (2005), 453-455
-
V.G. Kac and M.Wakimoto, Quantum reduction and representation theory of superconformal algebras, Adv. Math., 185 (2004), 400-458, Corrigendum, Adv. Math., 193 (2005), 453-455.
-
(2004)
Adv. Math.
, vol.185
, pp. 400-458
-
-
Kac, V.G.1
Wakimoto, M.2
-
30
-
-
84991996929
-
Quantum reduction in the twisted case
-
V.G. Kac and M.Wakimoto, Quantum reduction in the twisted case, Progr. Math., 237 (2005), 85-126.
-
(2005)
Progr. Math.
, vol.237
, pp. 85-126
-
-
Kac, V.G.1
Wakimoto, M.2
-
31
-
-
0000194544
-
Vertex operator superalgebras and their representations
-
V.G. Kac and W. Wang, Vertex operator superalgebras and their representations, Contemp. Math., 175 (1994), 161-191.
-
(1994)
Contemp. Math.
, vol.175
, pp. 161-191
-
-
Kac, V.G.1
Wang, W.2
-
32
-
-
0000482115
-
On Whittaker vectors and representation theory
-
B. Kostant, On Whittaker vectors and representation theory, Invent. Math., 48 (1978), 101-184.
-
(1978)
Invent. Math.
, vol.48
, pp. 101-184
-
-
Kostant, B.1
-
33
-
-
0033573187
-
A cubic Dirac operator and the emergence of Euler number multiplets of representations of equal rank subgroups
-
B. Kostant, A cubic Dirac operator and the emergence of Euler number multiplets of representations of equal rank subgroups, Duke Math. J., 100 (1999), 447-501.
-
(1999)
Duke Math. J.
, vol.100
, pp. 447-501
-
-
Kostant, B.1
-
34
-
-
0003098983
-
Symplectic reduction, BRS cohomology and infinite-dimensional Clifford algebras
-
B. Kostant and S. Sternberg, Symplectic reduction, BRS cohomology and infinite-dimensional Clifford algebras, Ann. Phys., 176 (1987), 49-113.
-
(1987)
Ann. Phys.
, vol.176
, pp. 49-113
-
-
Kostant, B.1
Sternberg, S.2
-
35
-
-
84974003054
-
Whittaker modules associated with highest weight modules
-
H. Matumoto, Whittaker modules associated with highest weight modules, Duke Math. J., 60 (1990), 59-113.
-
(1990)
Duke Math. J.
, vol.60
, pp. 59-113
-
-
Matumoto, H.1
-
36
-
-
0036749315
-
Special transverse slices and their enveloping algebras
-
A. Premet, Special transverse slices and their enveloping algebras, Adv. Math., 170 (2002), 1-55.
-
(2002)
Adv. Math.
, vol.170
, pp. 1-55
-
-
Premet, A.1
-
37
-
-
33746889580
-
Enveloping algebras of Slodowy slices and the Joseph ideal
-
preprint
-
A. Premet, Enveloping algebras of Slodowy slices and the Joseph ideal, preprint, 2005.
-
(2005)
-
-
Premet, A.1
-
38
-
-
0033242954
-
Yangian realizations from finite W-algebras
-
E. Ragoucy and P. Sorba, Yangian realizations from finite W-algebras, Comm. Math. Phys., 203 (1999), 551-576.
-
(1999)
Comm. Math. Phys.
, vol.203
, pp. 551-576
-
-
Ragoucy, E.1
Sorba, P.2
-
39
-
-
0011552586
-
Extensions of Virasoro algebra and gauged WZW models
-
A. Severin and W. Troost, Extensions of Virasoro algebra and gauged WZW models, Phys. Lett. B, 315 (1993), 304-310.
-
(1993)
Phys. Lett. B
, vol.315
, pp. 304-310
-
-
Severin, A.1
Troost, W.2
-
40
-
-
0001277705
-
Infinite extra symmetries in two-dimensional conformal quantum field theory
-
A. Zamolodchikov, Infinite extra symmetries in two-dimensional conformal quantum field theory, Teoret. Mat. Fiz., 65 (1985), 347-359.
-
(1985)
Teoret. Mat. Fiz.
, vol.65
, pp. 347-359
-
-
Zamolodchikov, A.1
-
41
-
-
0030551014
-
Modular invariance of characters of vertex operator algebras
-
Y. Zhu, Modular invariance of characters of vertex operator algebras, J. Amer. Math. Soc., 9 (1996), 237-302.
-
(1996)
J. Amer. Math. Soc.
, vol.9
, pp. 237-302
-
-
Zhu, Y.1
|