-
2
-
-
0001056693
-
Vertex algebras, Kac-Moody algebras, and the monster
-
[2] R.E. Borcherds, Vertex algebras, Kac-Moody algebras, and the Monster, Proc. Nat. Acad. Sci. USA 83 (1986) 3068-3071.
-
(1986)
Proc. Nat. Acad. Sci. USA
, vol.83
, pp. 3068-3071
-
-
Borcherds, R.E.1
-
3
-
-
0000292099
-
Vertex algebras associated with even lattices
-
[3] C. Dong, Vertex algebras associated with even lattices, J. Algebra 160 (1993) 245-265.
-
(1993)
J. Algebra
, vol.160
, pp. 245-265
-
-
Dong, C.1
-
4
-
-
43949148975
-
Twisted modules for vertex algebras associated with even lattices
-
[4] C. Dong, Twisted modules for vertex algebras associated with even lattices, J. Algebra 165 (1994) 90-112.
-
(1994)
J. Algebra
, vol.165
, pp. 90-112
-
-
Dong, C.1
-
5
-
-
0003353671
-
Generalized Vertex algebras and relative vertex operators
-
Birkhauser, Boston
-
[5] C. Dong and J. Lepowsky, Generalized Vertex Algebras and Relative Vertex Operators, Progr. Math. 112 (Birkhauser, Boston, 1993).
-
(1993)
Progr. Math.
, vol.112
-
-
Dong, C.1
Lepowsky, J.2
-
6
-
-
0000844713
-
Discrete series of the Virasoro algebra and the moonshine module
-
W.J. Haboush and B.J. Parshall, eds., Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods, American Math. Soc., Providence, RI
-
[6] C. Dong, G. Mason and Y. Zhu, Discrete series of the Virasoro algebra and the moonshine module, in: W.J. Haboush and B.J. Parshall, eds., Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods, Proc. Symposia in Pure Mathematics, Vol. 56, Part 2 (American Math. Soc., Providence, RI, 1994) 295-316.
-
(1994)
Proc. Symposia in Pure Mathematics
, vol.56
, Issue.PART 2
, pp. 295-316
-
-
Dong, C.1
Mason, G.2
Zhu, Y.3
-
9
-
-
0011622087
-
-
[8] I.B. Frenkel, Y.-Z. Huang and J. Lepowsky, On axiomatic approaches to vertex operator algebras and modules, Preprint, 1989; Memoirs Amer. Math. Soc. 104 (1993).
-
(1993)
Memoirs Amer. Math. Soc.
, vol.104
-
-
-
10
-
-
77956997425
-
Vertex operator algebras and the monster
-
Academic Press, New York
-
[9] I.B. Frenkel, J. Lepowsky and A. Meurman, Vertex Operator Algebras and the Monster, Pure Appl. Math. Vol. 134 (Academic Press, New York, 1988).
-
(1988)
Pure Appl. Math.
, vol.134
-
-
Frenkel, I.B.1
Lepowsky, J.2
Meurman, A.3
-
11
-
-
84973998987
-
Vertex operator algebras associated to representations of affine and Virasoro algebras
-
[10] I.B. 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.B.1
Zhu, Y.-C.2
-
12
-
-
85029967072
-
Meromorphic conformal field theory
-
Victor G. Kac, ed., Infinite Dimensional Lie Algebras and Groups, Luminy
-
[11] P. Goddard, Meromorphic conformal field theory, in: Victor G. Kac, ed., Infinite Dimensional Lie Algebras and Groups, Proc. Conf. held at CIRM, Luminy (1988).
-
(1988)
Proc. Conf. Held at CIRM
-
-
Goddard, P.1
-
15
-
-
0000950589
-
Toward a theory of tensor products for representations of a vertex operator algebra
-
S. Catto and A. Rocha, eds., New York, 1991, World Scientific, Singapore
-
[14] Y.-Z. Huang and J. Lepowsky, Toward a theory of tensor products for representations of a vertex operator algebra, in: S. Catto and A. Rocha, eds., Proc. 20th Internat. Conf. on Differential Geometric Methods in Theoretical Physics, New York, 1991, Vol. 1 (World Scientific, Singapore, 1992) 333-343.
-
(1992)
Proc. 20th Internat. Conf. on Differential Geometric Methods in Theoretical Physics
, vol.1
, pp. 333-343
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
16
-
-
0003198090
-
Introduction to Lie algebras and representation theory
-
Springer, Berlin
-
[15] J.E. Humphreys, Introduction to Lie Algebras and Representation Theory, Graduate Texts in Mathematics, Vol. 9 (Springer, Berlin 1972).
-
(1972)
Graduate Texts in Mathematics
, vol.9
-
-
Humphreys, J.E.1
-
19
-
-
0000675963
-
Superconformal current algebras and their unitary representations
-
[18] V.G. Kac and I.T. Todorov, Superconformal current algebras and their unitary representations, Commun. Math. Phys. 102 (1985) 337-347.
-
(1985)
Commun. Math. Phys.
, vol.102
, pp. 337-347
-
-
Kac, V.G.1
Todorov, I.T.2
-
20
-
-
0000194544
-
Vertex operator superalgebras and representations
-
Paul J. Sally, Jr., Moshe Flato, James Lepowsky, Nicolai Reshetikhin, Gregg J. Zuckerman, eds. Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups Amer. Math. Soc., Providence, RI
-
[19] V.G. Kac and W.-Q. Wang, Vertex operator superalgebras and representations, in: Paul J. Sally, Jr., Moshe Flato, James Lepowsky, Nicolai Reshetikhin, Gregg J. Zuckerman, eds., Contemporary Math. Vol. 175 Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups (Amer. Math. Soc., Providence, RI, 1994) 161-191.
-
(1994)
Contemporary Math.
, vol.175
, pp. 161-191
-
-
Kac, V.G.1
Wang, W.-Q.2
-
21
-
-
0011620476
-
Generalized Verma modules and loop space cohomology and Macdonald-type identities
-
[20] J. Lepowsky, Generalized Verma modules and loop space cohomology and Macdonald-type identities, Ann. Sci. Ecole Norm. Sup. 12 (1979) 699-701.
-
(1979)
Ann. Sci. Ecole Norm. Sup.
, vol.12
, pp. 699-701
-
-
Lepowsky, J.1
-
23
-
-
0001627674
-
Symmetric invariant bilinear forms on vertex operator algebras
-
[22] H.-S. Li, Symmetric invariant bilinear forms on vertex operator algebras, J. Pure Appl. Algebra 96 (1994) 279-297.
-
(1994)
J. Pure Appl. Algebra
, vol.96
, pp. 279-297
-
-
Li, H.-S.1
-
24
-
-
0001420767
-
Local systems of twisted vertex operators, vertex superalgebras and twisted modules
-
to appear
-
[23] H.-S. Li, Local systems of twisted vertex operators, vertex superalgebras and twisted modules, Contemp. Math., to appear.
-
Contemp. Math.
-
-
Li, H.-S.1
-
25
-
-
21344488774
-
On the classification of simple vertex operator algebras
-
[24] B.-H. Lian, On the classification of simple vertex operator algebras, Commun. Math. Phys. 163 (1994) 307-357.
-
(1994)
Commun. Math. Phys.
, vol.163
, pp. 307-357
-
-
Lian, B.-H.1
-
26
-
-
0000991311
-
̃l(2, C) and combinatorial identities
-
̃l(2, C) and combinatorial identities, Adv. Math. 64 (1987) 177-240.
-
(1987)
Adv. Math.
, vol.64
, pp. 177-240
-
-
Meurman, A.1
Primc, M.2
-
27
-
-
0001476144
-
Vertex operator superalgebras
-
[26] H. Tsukada, Vertex operator superalgebras, Commun. Algebra 18(7) (1990) 2249-2274.
-
(1990)
Commun. Algebra
, vol.18
, Issue.7
, pp. 2249-2274
-
-
Tsukada, H.1
-
31
-
-
0010882054
-
Infinite conformal symmetries in two-dimensional quantum field theory
-
[30] A.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.A.1
Polyakov, A.M.2
Zamolodchikov, A.B.3
-
33
-
-
0000861580
-
Commutative quantum operator algebras
-
[32] B.-H. Lian and Gregg J. Zuckerman, Commutative quantum operator algebras, J. Pure Appl. Algebra 100 (1995) 117-139.
-
(1995)
J. Pure Appl. Algebra
, vol.100
, pp. 117-139
-
-
Lian, B.-H.1
Zuckerman, G.J.2
|