-
1
-
-
0010882054
-
Infinite conformal symmetries in two-dimensional quantum field theory
-
A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Infinite conformal symmetries in two-dimensional quantum field theory, Nucl. Phys. B241 (1984) 333-380.
-
(1984)
Nucl. Phys.
, vol.B241
, pp. 333-380
-
-
Belavin, A.1
Polyakov, A.M.2
Zamolodchikov, A.B.3
-
2
-
-
0001056693
-
Vertex algebras, Kac-Moody algebras, and the Monster
-
R.E. 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.E.1
-
3
-
-
0003313703
-
Representations of compact lie groups
-
Springer-Verlag
-
T. Bröcker and T. tom Dieck, Representations of Compact Lie Groups, GTM 98, Springer-Verlag, 1985.
-
(1985)
GTM 98
-
-
Bröcker, T.1
Tom Dieck, T.2
-
4
-
-
0003349885
-
Enveloping algebras
-
American Mathematical Society
-
J. Dixmier, Enveloping Algebras, Graduate Studies in Mathematics, Volume II, American Mathematical Society, 1996.
-
(1996)
Graduate Studies in Mathematics
, vol.2
-
-
Dixmier, J.1
-
5
-
-
0003353671
-
Generalized vertex algebras and relative vertex operators
-
Birkhäuser, Boston
-
C. Dong and J. Lepowsky, Generalized Vertex Algebras and Relative Vertex Operators, Progress in Math., 112, Birkhäuser, Boston, 1993.
-
(1993)
Progress in Math.
, vol.112
-
-
Dong, C.1
Lepowsky, J.2
-
6
-
-
0031537365
-
Regularity of rational vertex operator algebras
-
C. Dong, H.-S. Li and G. Mason, Regularity of rational vertex operator algebras, Adv. Math. 132 (1997) 148-166.
-
(1997)
Adv. Math.
, vol.132
, pp. 148-166
-
-
Dong, C.1
Li, H.-S.2
Mason, G.3
-
7
-
-
0032370051
-
Twisted representations of vertex operator algebras
-
C. Dong, H.-S. Li and G. Mason, Twisted representations of vertex operator algebras, Math. Annalen 310 (1998) 571-700.
-
(1998)
Math. Annalen
, vol.310
, pp. 571-700
-
-
Dong, C.1
Li, H.-S.2
Mason, G.3
-
8
-
-
0034288951
-
Modular invariance of trace functions in orbifold theory
-
C. Dong, H.-S. Li and G. Mason, Modular invariance of trace functions in orbifold theory, Commun. Math. Phys. 214 (2000) 1-56.
-
(2000)
Commun. Math. Phys.
, vol.214
, pp. 1-56
-
-
Dong, C.1
Li, H.-S.2
Mason, G.3
-
9
-
-
0000844713
-
Discrete series of the Virasoro algebra and the moonshine module
-
C. Dong, G. Mason and Y. Zhu, Discrete series of the Virasoro algebra and the moonshine module, Proc. Sympos. Math. Amer. Soc. 56(2) (1994) 295-316.
-
(1994)
Proc. Sympos. Math. Amer. Soc.
, vol.56
, Issue.2
, pp. 295-316
-
-
Dong, C.1
Mason, G.2
Zhu, Y.3
-
13
-
-
0003207360
-
Vertex operator algebras and the monster
-
Academic Press, Boston
-
I. Frenkel, J. Lepowsky and A. Meurman, Vertex Operator Algebras and the Monster, Pure and Appl. Math., 134, Academic Press, Boston, 1988.
-
(1988)
Pure and Appl. Math.
, vol.134
-
-
Frenkel, I.1
Lepowsky, J.2
Meurman, A.3
-
16
-
-
84973998987
-
Vertex operator algebras associated to representations of affine and Virasoro algebras
-
I. Frenkel and Y.-C. Zhu, Vertex operator algebras associated to representations of affine and Virasoro algebras, Duke Math. J. 66 (1992) 123-168.
-
(1992)
Duke Math. J.
, vol.66
, pp. 123-168
-
-
Frenkel, I.1
Zhu, Y.-C.2
-
18
-
-
0025789737
-
Geometric interpretations of vertex operator algebras
-
Y.-Z. Huang, On a geometric interpretation of vertex operator algebras, Ph.D. thesis, Rutgers University, 1990; Geometric interpretations of vertex operator algebras, Proc. Natl. Acad. Sci. USA 88 (1991) 9964-9968.
-
(1991)
Proc. Natl. Acad. Sci. USA
, vol.88
, pp. 9964-9968
-
-
-
19
-
-
0000950589
-
Applications of the geometric interpretation of vertex operator algebras
-
New York, eds. S. Catto and A. Rocha, World Scientific, Singapore
-
Y.-Z. Huang, Applications of the geometric interpretation of vertex operator algebras, in Proc. 20th International Conference on Differential Geometric Methods in Theoretical Physics, New York, 1991, eds. S. Catto and A. Rocha, World Scientific, Singapore, 1992, Vol. 1, pp. 333-343.
-
(1991)
Proc. 20th International Conference on Differential Geometric Methods in Theoretical Physics
, vol.1
, pp. 333-343
-
-
Huang, Y.-Z.1
-
20
-
-
0001645655
-
A theory of tensor products for module categories for a vertex operator algebra, IV
-
Y.-Z. Huang, A theory of tensor products for module categories for a vertex operator algebra, IV, J. Pure Appl. Alg. 100 (1995) 173-216.
-
(1995)
J. Pure Appl. Alg.
, vol.100
, pp. 173-216
-
-
Huang, Y.-Z.1
-
21
-
-
0000950589
-
Toward a theory of tensor product for representations for a vertex operator algebra
-
New York, eds. S. Catto and A. Rocha, World Scientific, Singapore
-
Y.-Z. Huang and J. Lepowsky, Toward a theory of tensor product for representations for a vertex operator algebra, in Proc. 20th International Conference on Differential Geometric Methods in Theoretical Physics, New York, 1991, eds. S. Catto and A. Rocha, World Scientific, Singapore, 1992, Vol. 1, pp. 344-354.
-
(1991)
Proc. 20th International Conference on Differential Geometric Methods in Theoretical Physics
, vol.1
, pp. 344-354
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
22
-
-
0000893321
-
A theory of tensor product for module category of a vertex operator algebra, I
-
Y.-Z. Huang and J. Lepowsky, A theory of tensor product for module category of a vertex operator algebra, I, Selecta Math. 1 (1995) 699-756.
-
(1995)
Selecta Math.
, vol.1
, pp. 699-756
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
23
-
-
34249759387
-
A theory of tensor product for module category of a vertex operator algebra, II
-
Y.-Z. Huang and J. Lepowsky, A theory of tensor product for module category of a vertex operator algebra, II, Selecta Math. 1 (1995) 757-786.
-
(1995)
Selecta Math.
, vol.1
, pp. 757-786
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
24
-
-
0001645660
-
A theory of tensor product for module category of a vertex operator algebra, III
-
Y.-Z. Huang and J. Lepowsky, A theory of tensor product for module category of a vertex operator algebra, III, J. Pure Appl. Alg. 100 (1995) 141-171.
-
(1995)
J. Pure Appl. Alg.
, vol.100
, pp. 141-171
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
25
-
-
0001511086
-
Regular functions on certain infinite-dimensional groups, in Arithmetic and Geometry
-
Birkhäuser, Boston
-
V. Kac and D. Peterson, Regular functions on certain infinite-dimensional groups, in Arithmetic and Geometry, Progress in Math. 36, Birkhäuser, Boston, 1983, pp. 141-166.
-
(1983)
Progress in Math.
, vol.36
, pp. 141-166
-
-
Kac, V.1
Peterson, D.2
-
26
-
-
0003805590
-
-
W.H. Freeman and Company
-
N. Jacobson, Basic Algebra II, W.H. Freeman and Company, 1985.
-
(1985)
Basic Algebra
, vol.2
-
-
Jacobson, N.1
-
27
-
-
0001627674
-
Symmetric invariant bilinear forms on vertex operator algebras
-
H.-S. Li, Symmetric invariant bilinear forms on vertex operator algebras, J. Pure Appl. Alg. 96 (1994) 279-297.
-
(1994)
J. Pure Appl. Alg.
, vol.96
, pp. 279-297
-
-
Li, H.-S.1
-
29
-
-
0030578141
-
Local systems of vertex operators, vertex superalgebras and modules
-
H.-S. Li, Local systems of vertex operators, vertex superalgebras and modules, J. Pure Appl. Alg. 109 (1996) 143-195.
-
(1996)
J. Pure Appl. Alg.
, vol.109
, pp. 143-195
-
-
Li, H.-S.1
-
30
-
-
0031572747
-
The physical superselection principle in vertex operator algebra theory
-
H.-S. Li, The physical superselection principle in vertex operator algebra theory, J. Alg. 196 (1997) 436-457.
-
(1997)
J. Alg.
, vol.196
, pp. 436-457
-
-
Li, H.-S.1
-
31
-
-
0003153298
-
An analogue of the Hom functor and a generalized nuclear democracy theorem
-
H.-S. Li, An analogue of the Hom functor and a generalized nuclear democracy theorem, Duke Math. J. 93 (1998) 73-114.
-
(1998)
Duke Math. J.
, vol.93
, pp. 73-114
-
-
Li, H.-S.1
-
32
-
-
0033556813
-
Some finiteness properties of regular vertex operator algebras
-
H.-S. Li, Some finiteness properties of regular vertex operator algebras, J. Alg. 212 (1999) 495-514.
-
(1999)
J. Alg.
, vol.212
, pp. 495-514
-
-
Li, H.-S.1
-
33
-
-
0001366143
-
On genus-zero correlation functions of vertex operator algebras
-
July, Shanghai, China, China Higher Education Press & Springer-Verlag
-
H.-S. Li, On genus-zero correlation functions of vertex operator algebras, in the Proceedings of the International Conference on Representation Theory, July 1998, Shanghai, China, China Higher Education Press & Springer-Verlag, pp. 295-313.
-
(1998)
Proceedings of the International Conference on Representation Theory
, pp. 295-313
-
-
Li, H.-S.1
-
34
-
-
0035314905
-
The regular representation, Zhu's A(V)-theory and induced modules
-
H.-S. Li, The regular representation, Zhu's A(V)-theory and induced modules, J. Alg. 238 (2001) 159-193.
-
(2001)
J. Alg.
, vol.238
, pp. 159-193
-
-
Li, H.-S.1
-
35
-
-
0011965825
-
The regular representations and the An(V)-algebras
-
H.-S. Li, The regular representations and the An(V)-algebras, in CRM Proceedings and Lecture Notes 30 (2001) 99-116.
-
(2001)
CRM Proceedings and Lecture Notes
, vol.30
, pp. 99-116
-
-
Li, H.-S.1
-
36
-
-
0011963661
-
Regular representations and Huang-Lepowsky's tensor functors
-
math. QA/0103090
-
H.-S. Li, Regular representations and Huang-Lepowsky's tensor functors, to appear in J. Alg.; math. QA/0103090.
-
J. Alg.
-
-
Li, H.-S.1
-
37
-
-
0346763470
-
Classical and quantum conformal field theory
-
G. Moore and N. Seiberg, Classical and quantum conformal field theory, Commun. Math. Phys. 123 (1989) 177-254.
-
(1989)
Commun. Math. Phys.
, vol.123
, pp. 177-254
-
-
Moore, G.1
Seiberg, N.2
-
38
-
-
0000986085
-
Vertex operator algebras and representations of affine Lie algebras
-
A. Meurman and Mirko Primc, Vertex operator algebras and representations of affine Lie algebras, Acta Applicandae Math. 44 (1996) 207-215.
-
(1996)
Acta Applicandae Math.
, vol.44
, pp. 207-215
-
-
Meurman, A.1
Primc, M.2
-
40
-
-
0030551014
-
Modular invariance of characters of vertex operator algebras
-
Y.-C. Zhu, Modular invariance of characters of vertex operator algebras, J. Amev. Math. Soc. 9 (1996) 237-302.
-
(1996)
J. Amev. Math. Soc.
, vol.9
, pp. 237-302
-
-
Zhu, Y.-C.1
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