-
2
-
-
0003564126
-
Modular functions and dirichlet series in number theory, second edition
-
Springer-Verlag, New York, MR 1027834 (90j:11001), Zbl 0697.10023
-
T.M. Apostol, Modular Functions and Dirichlet Series in Number Theory, Second edition, Graduate Texts in Mathematics, 41, Springer-Verlag, New York, 1990, MR 1027834 (90j:11001), Zbl 0697.10023.
-
(1990)
Graduate Texts in Mathematics
, vol.41
-
-
Apostol, T.M.1
-
3
-
-
0040208914
-
3 algebra
-
Springer, Berlin, MR 1423803 (97m:17029), Zbl 0860.17042
-
3 Algebra, Lecture Notes in Physics, m42, Springer, Berlin, 1996, MR 1423803 (97m:17029), Zbl 0860.17042.
-
(1996)
Lecture Notes in Physics
, vol.M42
-
-
Bouwknegt, P.1
McCarthy, J.2
Pilch, K.3
-
4
-
-
0036700987
-
A spanning set for VOA modules
-
MR 1927435 (2003m:17022)
-
G. Buhl, A spanning set for VOA modules, J. Algebra, 254 (2002), 125-151, MR 1927435 (2003m:17022).
-
(2002)
J. Algebra
, vol.254
, pp. 125-151
-
-
Buhl, G.1
-
5
-
-
0000292099
-
Vertex algebras associated with even lattices
-
MR 1245855 (94j:17023), Zbl 0807.17022
-
C. Dong, Vertex algebras associated with even lattices, J. Algebra, 161 (1993), 245-265, MR 1245855 (94j:17023), Zbl 0807.17022.
-
(1993)
J. Algebra
, vol.161
, pp. 245-265
-
-
Dong, C.1
-
6
-
-
43949148975
-
Twisted modules for vertex algebras associated with even lattices
-
MR1272580(95i:17032),Zbl0807.17023
-
_, Twisted modules for vertex algebras associated with even lattices, J. Algebra, 165 (1994), 91-112, MR 1272580 (95i:17032), Zbl 0807.17023.
-
(1994)
J. Algebra
, vol.165
, pp. 91-112
-
-
-
7
-
-
0030581256
-
The algebraic structure of relative twisted vertex operators
-
MR 1393116 (98e:17036), Zbl 0862.17021
-
C. Dong and J. Lepowsky, The algebraic structure of relative twisted vertex operators, J. Pure Appl. Algebra, 110 (1996), 259-295, MR 1393116 (98e:17036), Zbl 0862.17021.
-
(1996)
J. Pure Appl. Algebra
, vol.110
, pp. 259-295
-
-
Dong, C.1
Lepowsky, J.2
-
8
-
-
0032370051
-
Twisted representations of vertex operator algebras
-
MR 1615132 (99d:17030), Zbl 0890.17029
-
C. Dong, H. Li and G. Mason, Twisted representations of vertex operator algebras, Math. Ann., 310 (1998), 571-600, MR 1615132 (99d:17030), Zbl 0890.17029.
-
(1998)
Math. Ann.
, vol.310
, pp. 571-600
-
-
Dong, C.1
Li, H.2
Mason, G.3
-
9
-
-
0034288951
-
Modular-invariance of trace functions in orbifold theory and generalized moonshine
-
MR 1794264 (2001k:17043)
-
_, Modular-invariance of trace functions in orbifold theory and generalized moonshine, Comm. Math. Phys., 214 (2000), 1-56, MR 1794264 (2001k:17043).
-
(2000)
Comm. Math. Phys.
, vol.214
, pp. 1-56
-
-
-
10
-
-
0002979905
-
Associative subalgebras of the Griess algebra and related topics
-
ed. by J. Ferrar and K. Harada, Walter de Gruyter, Berlin-New York, MR 1650629 (99k:17048), Zbl 0946.17011
-
C. Dong, H. Li, G. Mason and S.P. Norton, Associative subalgebras of the Griess algebra and related topics, in 'Proc. of the Conference on the Monster and Lie algebras at The Ohio State University, May 1996,' ed. by J. Ferrar and K. Harada, Walter de Gruyter, Berlin-New York, 1998, 27-42, MR 1650629 (99k:17048), Zbl 0946.17011.
-
(1998)
Proc. of the Conference on the Monster and Lie Algebras at the Ohio State University, May 1996
, pp. 27-42
-
-
Dong, C.1
Li, H.2
Mason, G.3
Norton, S.P.4
-
11
-
-
0000900139
-
On quantum Galois theory
-
MR MR1430435 (97k:17042), Zbl 0890.17031
-
C. Dong and G. Mason, On quantum Galois theory, Duke Math. J., 86 (1997), 305-321, MR MR1430435 (97k:17042), Zbl 0890.17031.
-
(1997)
Duke Math. J.
, vol.86
, pp. 305-321
-
-
Dong, C.1
Mason, G.2
-
12
-
-
0001461022
-
+
-
MR MR1694542 (2000b:17038), Zbl 0929.17032
-
+, J. Algebra, 216 (1999), 384-404, MR MR1694542 (2000b:17038), Zbl 0929.17032.
-
(1999)
J. Algebra
, vol.216
, pp. 384-404
-
-
Dong, C.1
Nagatomo, K.2
-
13
-
-
0035981389
-
Vertex operator algebras, generalized doubles and dual pairs
-
MR 1935493 (2003j:17038)
-
C. Dong and G. Yamskulna, Vertex operator algebras, generalized doubles and dual pairs, Math. Z., 241 (2002), 397-423, MR 1935493 (2003j:17038).
-
(2002)
Math. Z.
, vol.241
, pp. 397-423
-
-
Dong, C.1
Yamskulna, G.2
-
15
-
-
0002668119
-
On axiomatic approaches to vertex operator algebras and modules
-
MR 1142494 (94a:17007), Zbl 0789.17022
-
I.B. Prenkel, Y. Huang and J. Lepowsky, On axiomatic approaches to vertex operator algebras and modules, Mem. Amer. Math. Soc., 104(494) (1993), MR 1142494 (94a:17007), Zbl 0789.17022.
-
(1993)
Mem. Amer. Math. Soc.
, vol.104
, Issue.494
-
-
Prenkel, I.B.1
Huang, Y.2
Lepowsky, J.3
-
16
-
-
0000194140
-
Characters and fusion rules for W-algebras via quantized Drinfel'd-Sokolov reduction
-
MR 1174415 (93i:17029), Zbl 0768.17008
-
E. Frenkel, V.G. Kac and M. Wakimoto, Characters and fusion rules for W-algebras via quantized Drinfel'd-Sokolov reduction, Comm. Math. Phys., 147 (1992), 295-328, MR 1174415 (93i:17029), Zbl 0768.17008.
-
(1992)
Comm. Math. Phys.
, vol.147
, pp. 295-328
-
-
Frenkel, E.1
Kac, V.G.2
Wakimoto, M.3
-
17
-
-
0003207360
-
Vertex operator algebras and the monster
-
Academic Press, MR 0996026 (90h:17026), Zbl 0674.17001
-
I.E. Frenkel, J. Lepowsky and A. Meurman, Vertex Operator Algebras and the Monster, Pure and Applied Math., 134, Academic Press, 1988, MR 0996026 (90h:17026), Zbl 0674.17001.
-
(1988)
Pure and Applied Math.
, vol.134
-
-
Frenkel, I.E.1
Lepowsky, J.2
Meurman, A.3
-
18
-
-
0003774747
-
-
Cambridge University Press, Cambridge, MR 1104219 (92k:17038), Zbl 0716.17022
-
V.G. Kac, Infinite-Dimensional Lie Algebras, Third edition, Cambridge University Press, Cambridge, 1990, MR 1104219 (92k:17038), Zbl 0716.17022.
-
(1990)
Infinite-dimensional Lie Algebras, Third Edition
-
-
Kac, V.G.1
-
20
-
-
0346981978
-
Modular and conformal invariance constraints in representation theory of affine algebras
-
MR 0954660 (89h:17036), Zbl 0661.17016
-
V.G. Kac and M. Wakimoto, Modular and conformal invariance constraints in representation theory of affine algebras, Adv. Math., 70 (1988), 156-236, MR 0954660 (89h:17036), Zbl 0661.17016.
-
(1988)
Adv. Math.
, vol.70
, pp. 156-236
-
-
Kac, V.G.1
Wakimoto, M.2
-
21
-
-
0034654709
-
Decomposition of the moonshine vertex operator algebra as Virasoro modules
-
MR 1752768 (2001f:17055), Zbl 0986.17010
-
K. Kitazume, C. Lam and H. Yamada, Decomposition of the moonshine vertex operator algebra as Virasoro modules, J. Algebra, 226 (2000), 893-919, MR 1752768 (2001f:17055), Zbl 0986.17010.
-
(2000)
J. Algebra
, vol.226
, pp. 893-919
-
-
Kitazume, K.1
Lam, C.2
Yamada, H.3
-
22
-
-
0037653294
-
3-state Potts model, moonshine vertex operator algebra and 3A elements of the monster group
-
MR 1967318 (2004b:17051)
-
K. Kitazume, C. Lam and H. Yamada, 3-state Potts model, moonshine vertex operator algebra and 3A elements of the monster group, Int. Math. Res. Not., 23 (2003), 1269-1303, MR 1967318 (2004b:17051).
-
(2003)
Int. Math. Res. Not.
, vol.23
, pp. 1269-1303
-
-
Kitazume, K.1
Lam, C.2
Yamada, H.3
-
23
-
-
0034649928
-
Ternary codes and vertex operator algebras
-
MR 1735153 (2000m:17032), Zbl 0977.17026
-
M. Kitazume, M. Miyamoto and H. Yamada, Ternary codes and vertex operator algebras, J. Algebra, 223 (2000), 379-395, MR 1735153 (2000m:17032), Zbl 0977.17026.
-
(2000)
J. Algebra
, vol.223
, pp. 379-395
-
-
Kitazume, M.1
Miyamoto, M.2
Yamada, H.3
-
24
-
-
0034651344
-
2 codes and vertex operator algebras
-
MR 1739581 (2001d:17029), Zbl 1013.17025
-
2 codes and vertex operator algebras, J. Algebra, 224 (2000), 268-291, MR 1739581 (2001d:17029), Zbl 1013.17025.
-
(2000)
J. Algebra
, vol.224
, pp. 268-291
-
-
Lam, C.1
Yamada, H.2
-
25
-
-
0001008519
-
Calculus of twisted vertex operators
-
MR 0820716 (88f:17030), Zbl 0579.17010
-
J. Lepowsky, Calculus of twisted vertex operators, Proc. Natl. Acad. Sci. U.S.A., 82 (1985), 8295-8299, MR 0820716 (88f:17030), Zbl 0579.17010.
-
(1985)
Proc. Natl. Acad. Sci. U.S.A.
, vol.82
, pp. 8295-8299
-
-
Lepowsky, J.1
-
26
-
-
0001627674
-
Symmetric invariant bilinear forms on vertex operator algebras
-
MR 1303287 (96e;17063), Zbl 0813.17020
-
H. Li, Symmetric invariant bilinear forms on vertex operator algebras, J. Pure Appl. Algebra, 96 (1994), 279-297, MR 1303287 (96e;17063), Zbl 0813.17020.
-
(1994)
J. Pure Appl. Algebra
, vol.96
, pp. 279-297
-
-
Li, H.1
-
27
-
-
0030584045
-
Griess algebras and conformal vectors in vertex operator algebras
-
MR 1367861 (96m:17052), Zbl 0964.17021
-
M. Miyamoto, Griess algebras and conformal vectors in vertex operator algebras, J. Algebra, 179 (1996), 523-548, MR 1367861 (96m:17052), Zbl 0964.17021.
-
(1996)
J. Algebra
, vol.179
, pp. 523-548
-
-
Miyamoto, M.1
-
28
-
-
0035343248
-
3-state potts model and automorphism of vertex operator algebra of order 3
-
MR 1827874 (2002c:17042), Zbl 1022.17020
-
_, 3-State Potts model and automorphism of vertex operator algebra of order 3, J. Algebra, 239 (2001), 56-76, MR 1827874 (2002c:17042), Zbl 1022.17020.
-
(2001)
J. Algebra
, vol.239
, pp. 56-76
-
-
-
29
-
-
3242719102
-
A new construction of the moonshine vertex operator algebra over the real number field
-
to appear
-
_, A new construction of the moonshine vertex operator algebra over the real number field, to appear in Ann. of Math.
-
Ann. of Math.
-
-
-
30
-
-
1642268739
-
g,n(V) for an orbifold model V and G-twisted Zhu algebra
-
g,n(V) for an orbifold model V and G-twisted Zhu algebra, J. Algebra, 274 (2004), 80-96.
-
(2004)
J. Algebra
, vol.274
, pp. 80-96
-
-
Miyamoto, M.1
Tanabe, K.2
-
32
-
-
0000812566
-
Vacuum vector representations of the Virasoro algebra
-
Publications of the Mathematical Sciences Research Institute, Springer-Verlag, Berlin-New York, MR 0781391 (87b:17011), Zbl 0557.17005
-
A. Rocha-Caridi, Vacuum vector representations of the Virasoro algebra, in 'Vertex Operators in Mathematics and Physics,' Publications of the Mathematical Sciences Research Institute, 3, Springer-Verlag, Berlin-New York, 1984, 451-473, MR 0781391 (87b:17011), Zbl 0557.17005.
-
(1984)
Vertex Operators in Mathematics and Physics
, vol.3
, pp. 451-473
-
-
Rocha-Caridi, A.1
-
33
-
-
0346276305
-
Infinite-dimensional lie algebras
-
Translated from the 1999 Japanese original by Kenji Iohara, Iwanami Series in Modern Mathematics, American Mathematical Society, Providence, RI, MR 1793723 (2001k: 17038), Zbl 0956.17014
-
M. Wakimoto, Infinite-Dimensional Lie Algebras, Translated from the 1999 Japanese original by Kenji Iohara, Translations of Mathematical Monographs, 195, Iwanami Series in Modern Mathematics, American Mathematical Society, Providence, RI, 2001, MR 1793723 (2001k: 17038), Zbl 0956.17014.
-
(2001)
Translations of Mathematical Monographs
, vol.195
-
-
Wakimoto, M.1
-
34
-
-
84963036993
-
Rationality of Virasoro vertex operator algebras
-
MR 1230296 (94i:17034), Zbl 0791.1702
-
W. Wang, Rationality of Virasoro vertex operator algebras, Internat. Math. Res. Notices, 7 (1993), 197-211, MR 1230296 (94i:17034), Zbl 0791.1702.
-
(1993)
Internat. Math. Res. Notices
, vol.7
, pp. 197-211
-
-
Wang, W.1
-
35
-
-
0032123602
-
3 algebra with c = -2
-
MR 1637413 (2000e:81054), Zbl 0949.17009
-
3 algebra with c = -2, Comm. Math. Phys., 195 (1998), 113-128, MR 1637413 (2000e:81054), Zbl 0949.17009.
-
(1998)
Comm. Math. Phys.
, vol.195
, pp. 113-128
-
-
-
36
-
-
0030551014
-
Modular invariance of characters of vertex operator algebras
-
MR 1317233 (96c:17042), Zbl 0854.17034
-
Y. Zhu, Modular invariance of characters of vertex operator algebras, J. Amer. Math. Soc., 9 (1996), 237-302, MR 1317233 (96c:17042), Zbl 0854.17034.
-
(1996)
J. Amer. Math. Soc.
, vol.9
, pp. 237-302
-
-
Zhu, Y.1
|