-
2
-
-
0010882054
-
Infinite conformai symmetries in two-dimensional quantum field theory
-
[BPZ]
-
[BPZ] A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov. Infinite conformai 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
-
3
-
-
0001056693
-
Vertex algebras, Kac-Moody algebras, and the Monster
-
[B]
-
[B] 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
-
4
-
-
0001255152
-
Conformai field theory of twisted vertex operators
-
[DGM]
-
[DGM] L. Dolan, P. Goddard and P. Montague. Conformai field theory of twisted vertex operators. Nucl. Phys. B338 (1990), 529-601.
-
(1990)
Nucl. Phys.
, vol.B338
, pp. 529-601
-
-
Dolan, L.1
Goddard, P.2
Montague, P.3
-
5
-
-
0001333523
-
A Jacobi identity for relative vertex operators and the equivalence of Z-algebras and parafermion algebras, in
-
[DL1] June, 1988 (Y. Saint-Aubin and L. Vinet, eds.). World Scientific, Singapore
-
[DL1] C. Dong and J. Lepowsky. A Jacobi identity for relative vertex operators and the equivalence of Z-algebras and parafermion algebras, in: Proc. XVIIth Intl. Colloq. on Group Theoretical Methods in Physics, Ste-Adèle, June, 1988 (Y. Saint-Aubin and L. Vinet, eds.). World Scientific, Singapore, 1989, pp. 235-238.
-
(1989)
Proc. XVIIth Intl. Colloq. on Group Theoretical Methods in Physics, Ste-Adèle
, pp. 235-238
-
-
Dong, C.1
Lepowsky, J.2
-
6
-
-
84966499973
-
Abelian intertwining algebras -a generalization of vertex operator algebras
-
[DL2] Part 2 (W. J. Haboush and B. J. Parshall, eds.). American Mathematical Society, Providence
-
[DL2] C. Dong and J. Lepowsky. Abelian intertwining algebras -a generalization of vertex operator algebras, in: Proc. A MS Summer Research Institute on Algebraic Groups and Their Generalizations, Pennsylvania State University, 1991, Proc. Symp. Pure Math., Vol 56, Part 2 (W. J. Haboush and B. J. Parshall, eds.). American Mathematical Society, Providence, 1994, pp. 261-293.
-
(1994)
Proc. A MS Summer Research Institute on Algebraic Groups and Their Generalizations, Pennsylvania State University, 1991, Proc. Symp. Pure Math.
, vol.56
, pp. 261-293
-
-
Dong, C.1
Lepowsky, J.2
-
8
-
-
0003056783
-
Simple currents and extensions of vertex operator algebras
-
[DLM1]
-
[DLM1] C. Dong, H. Li, G. Mason. Simple currents and extensions of vertex operator algebras. Comm. Math. Phy. 180 (1996), 671-707.
-
(1996)
Comm. Math. Phy.
, vol.180
, pp. 671-707
-
-
Dong, C.1
Li, H.2
Mason, G.3
-
10
-
-
0003989383
-
-
[EFK] Mathematical Surveys and Monographs, American Mathematical Society, Providence
-
[EFK] P. Etingof, I. B. Frenkel and A. A. Kirillov, Jr. Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations. Mathematical Surveys and Monographs, Vol. 58. American Mathematical Society, Providence, 1998.
-
(1998)
Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations
, vol.58
-
-
Etingof, P.1
Frenkel, I.B.2
Kirillov Jr., A.A.3
-
11
-
-
52849118524
-
-
[FFR] Amer. Math. Soc., Providence
-
[FFR] A. J. Feingold, I. B. Frenkel, J. F. X. Ries. Spinor construction of vertex operator algebras, triality and Eg . Contemporary Math., Vol. 121. Amer. Math. Soc., Providence, 1991.
-
(1991)
Spinor Construction of Vertex Operator Algebras, Triality and Eg. Contemporary Math.
, vol.121
-
-
Feingold, A.J.1
Frenkel, I.B.2
Ries, J.F.X.3
-
12
-
-
0002604201
-
Spinor construction of the c = 75 minimal model
-
[FRW] Contemporary Math. (C. Dong and G. Mason, eds.). Amer. Math. Soc., Providence
-
[FRW] A. J. Feingold, J. F. X. Ries, and M. Weiner. Spinor construction of the c = 75 minimal model, in: Moonshine, the Monster and related topics, Proc. Joint Summer Research Conference, Mount Holyoke, 1994, Contemporary Math. (C. Dong and G. Mason, eds.). Amer. Math. Soc., Providence, 1996, pp. 45-92.
-
(1996)
Moonshine, the Monster and Related Topics, Proc. Joint Summer Research Conference, Mount Holyoke, 1994
, pp. 45-92
-
-
Feingold, A.J.1
Ries, J.F.X.2
Weiner, M.3
-
13
-
-
0002668119
-
On axiomatic approaches to vertex operator algebras and modules
-
[FHL] preprint 1989
-
[FHL] 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
-
-
Frenkel, I.B.1
Huang, Y.-Z.2
Lepowsky, J.3
-
14
-
-
0001761027
-
A natural representation of the FischerGriess monster with the modular function
-
[FLM1]
-
[FLM1] I. B. Frenkel, J. Lepowsky and A. Meurman. A natural representation of the FischerGriess monster with the modular function J as character. Proc. Natl. Acad. Sci. USA 81 (1984), 3256-3260.
-
(1984)
J As Character. Proc. Natl. Acad. Sci. USA
, vol.81
, pp. 3256-3260
-
-
Frenkel, I.B.1
Lepowsky, J.2
Meurman, A.3
-
15
-
-
0003648007
-
-
[FLM2] Academic Press, New York
-
[FLM2] I. B. Frenkel, J. Lepowsky, and A. Meurman. Vertex operator algebras and the Monster. Pure and Appl. Math., Vol. 134. Academic Press, New York, 1988.
-
(1988)
Vertex Operator Algebras and the Monster. Pure and Appl. Math.
, vol.134
-
-
Frenkel, I.B.1
Lepowsky, J.2
Meurman, A.3
-
17
-
-
0025789737
-
Geometric interpretation of vertex operator algebras
-
[H2]
-
[H2] Y.-Z. Huang. Geometric interpretation of vertex operator algebras. Proc. Natl. Acad. Sci. USA 88 (1991), 9964-9968.
-
(1991)
Proc. Natl. Acad. Sci. USA
, vol.88
, pp. 9964-9968
-
-
Huang, Y.-Z.1
-
18
-
-
0000541007
-
Vertex operator algebras and conformai field theory
-
H3
-
[H3] Y.-Z. Huang. Vertex operator algebras and conformai field theory. Intl. Jour, of Mod. Phys AT (1992), 2109-2151.
-
(1992)
Intl. Jour, of Mod. Phys at
, pp. 2109-2151
-
-
Huang, Y.-Z.1
-
19
-
-
0001645655
-
A theory of tensor products for module categories for a vertex operator algebra, IV. J
-
[H4]
-
[H4] 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)
Pure Appl. Alg.
, vol.100
, pp. 173-216
-
-
Huang, Y.-Z.1
-
20
-
-
0001828231
-
A nonmeromorphic extension of the moonshine module vertex operator algebra
-
H5 Contemporary Math., (C. Dong and G. Mason, eds.). Amer. Math. Soc., Providence
-
[H5] Y.-Z. Huang. A nonmeromorphic extension of the moonshine module vertex operator algebra, in: Moonshine, the Monster and related topics, Proc. Joint Summer Research Conference, Mount Holyoke, 1994, Contemporary Math., Vol. 193 (C. Dong and G. Mason, eds.). Amer. Math. Soc., Providence, 1996, pp. 123-148.
-
(1996)
Moonshine, the Monster and Related Topics, Proc. Joint Summer Research Conference, Mount Holyoke, 1994
, vol.193
, pp. 123-148
-
-
Huang, Y.-Z.1
-
21
-
-
0030585266
-
Virasoro vertex operator algebras, (nonmeromorphic) operator product expansion and the tensor product theory
-
H6
-
[H6] Y.-Z. Huang. Virasoro vertex operator algebras, (nonmeromorphic) operator product expansion and the tensor product theory. J. Alg. 182 (1996), 201-234.
-
(1996)
J. Alg.
, vol.182
, pp. 201-234
-
-
Huang, Y.-Z.1
-
22
-
-
0000694726
-
Intertwining operator algebras, genus-zero modular functors and genuszero conformai field theories
-
H7 (J.-L. Loday, J. Stasheff, and A. A. Voronov, eds.). Amer. Math. Soc., Providence
-
[H7] Y.-Z. Huang. Intertwining operator algebras, genus-zero modular functors and genuszero conformai field theories, in: Operads: Proceedings of Renaissance Conferences, Contemporary Math., Vol. 202 (J.-L. Loday, J. Stasheff, and A. A. Voronov, eds.). Amer. Math. Soc., Providence, 1997, pp. 335-355.
-
(1997)
Operads: Proceedings of Renaissance Conferences, Contemporary Math.
, vol.202
, pp. 335-355
-
-
Huang, Y.-Z.1
-
24
-
-
0032209734
-
Genus-zero modular functors and intertwining operator algebras
-
H9
-
[H9] Y.-Z. Huang. Genus-zero modular functors and intertwining operator algebras. Internat. J. Math. 9 (1998), 845-863.
-
(1998)
Internat. J. Math.
, vol.9
, pp. 845-863
-
-
Huang, Y.-Z.1
-
26
-
-
0000218156
-
-
HL1 The Gelfand Mathematical Seminar, 1990-1992 (L. Corwin, I. Gelfand and J. Lepowsky, eds.). Birkhäuser, Boston
-
[HL1] Y.-Z. Huang and J. Lepowsky. Vertex operator algebras and operads. The Gelfand Mathematical Seminar, 1990-1992 (L. Corwin, I. Gelfand and J. Lepowsky, eds.). Birkhäuser, Boston, 1993, pp. 145-161.
-
(1993)
Vertex Operator Algebras and Operads
, pp. 145-161
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
27
-
-
0000211464
-
Operadic formulation of the notion of vertex operator algebra
-
HL2 Contemporary Math., (P. Sally, M. Flato, J. Lepowsky, N. Reshetikhin and G. Zuckerman, eds.). Amer. Math. Soc., Providence
-
[HL2] Y.-Z. Huang and J. Lepowsky. Operadic formulation of the notion of vertex operator algebra, in: Mathematical Aspects of Conformai and Topological Field Theories and Quantum Groups, Proc. Joint Summer Research Conference, Mount Holyoke, 1992, Contemporary Math., Vol. 175 (P. Sally, M. Flato, J. Lepowsky, N. Reshetikhin and G. Zuckerman, eds.). Amer. Math. Soc., Providence, 1994, pp. 131-148.
-
(1994)
Mathematical Aspects of Conformai and Topological Field Theories and Quantum Groups, Proc. Joint Summer Research Conference, Mount Holyoke, 1992
, vol.175
, pp. 131-148
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
28
-
-
52849128277
-
-
HL3 Proc. 20th International Conference on Differential Geometric Methods in Theoretical Physics, New York, 1991 (S. Catto and A. Rocha, eds.). World Scientific, Singapore
-
[HL3] Y.-Z. Huang and J. Lepowsky. Toward a theory of tensor products for representations of a vertex operator algebras. Proc. 20th International Conference on Differential Geometric Methods in Theoretical Physics, New York, 1991 (S. Catto and A. Rocha, eds.). World Scientific, Singapore, 1992, pp. 344-354.
-
(1992)
Toward A Theory of Tensor Products for Representations of A Vertex Operator Algebras
, pp. 344-354
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
29
-
-
0000893321
-
A theory of tensor products for module categories for a vertex operator algebra, I
-
HL4
-
[HL4] Y.-Z. Huang and J. Lepowsky. A theory of tensor products for module categories for a vertex operator algebra, I. Selecta Mathematica, New Series 1 (1995), 699-756.
-
(1995)
Selecta Mathematica, New Series
, vol.1
, pp. 699-756
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
30
-
-
34249759387
-
A theory of tensor products for module categories for a vertex operator algebra, II
-
HL5
-
[HL5] Y.-Z. Huang and J. Lepowsky. A theory of tensor products for module categories for a vertex operator algebra, II. Selecta Mathematica, New Series 1 (1995), 757-786.
-
(1995)
Selecta Mathematica, New Series
, vol.1
, pp. 757-786
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
31
-
-
0002624352
-
Tensor products of modules for a vertex operator algebras and vertex tensor categories
-
HL6 (R. Brylinski, J.-L. Brylinski, V. Guillemin, V. Kac, eds.). Birkhäuser, Boston
-
[HL6] Y.-Z. Huang and J. Lepowsky. Tensor products of modules for a vertex operator algebras and vertex tensor categories, in: Lie Theory and Geometry, in honor of Bertram Kostant, (R. Brylinski, J.-L. Brylinski, V. Guillemin, V. Kac, eds.). Birkhäuser, Boston, 1994, pp. 349-383.
-
(1994)
Lie Theory and Geometry, in Honor of Bertram Kostant
, pp. 349-383
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
32
-
-
0001645660
-
A theory of tensor products for module categories for a vertex operator algebra, III
-
HL7
-
[HL7] Y.-Z. Huang and J. Lepowsky. A theory of tensor products for module categories for 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
-
33
-
-
0011023075
-
On the D-module and formal variable approaches to vertex algebras
-
HL8 Progress in Nonlinear Differential Equations, (S. Gindikin, ed.). Birkhäuser, Boston
-
[HL8] Y.-Z. Huang and J. Lepowsky. On the D-module and formal variable approaches to vertex algebras, in: Topics in Geometry: In Memory of Joseph D'Atri, Progress in Nonlinear Differential Equations, Vol. 20 (S. Gindikin, ed.). Birkhäuser, Boston, 1996, pp. 175-202.
-
(1996)
Topics in Geometry: in Memory of Joseph D'Atri
, vol.20
, pp. 175-202
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
34
-
-
0000713264
-
Intertwining operator algebras and vertex tensor categories for affine Lie algebras
-
HL9
-
[HL9] Y.-Z. Huang and J. Lepowsky. Intertwining operator algebras and vertex tensor categories for affine Lie algebras. Duke Math. J. 99 (1999), 113-134.
-
(1999)
Duke Math. J.
, vol.99
, pp. 113-134
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
38
-
-
0030578141
-
Local systems of vertex operators, vertex superalgebras and modules
-
LI
-
[LI] H. 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.1
-
39
-
-
0030669183
-
Extension of vertex operator algebras by a self-dual simple module
-
L2
-
[L2] H. Li. Extension of vertex operator algebras by a self-dual simple module. J. Alg. 187 (1997), 236-267.
-
(1997)
J. Alg.
, vol.187
, pp. 236-267
-
-
Li, H.1
-
40
-
-
0346763470
-
Classical and quantum conformai field theory
-
MS
-
[MS] G. Moore and N. Seiberg. Classical and quantum conformai field theory. Comm. in Math. Phys. 123 (1989), 177-254.
-
(1989)
Comm. in Math. Phys.
, vol.123
, pp. 177-254
-
-
Moore, G.1
Seiberg, N.2
-
41
-
-
0001172947
-
Vertex operators in conformai field theory on IP1 and mon-odromy representations of braid group
-
TK Advanced Studies in Pure Math., Kinokuniya Company Ltd., Tokyo
-
[TK] A. Tsuchiya and Y. Kanie. Vertex operators in conformai field theory on IP1 and mon-odromy representations of braid group, in: Conformai Field Theory and Solvable Lattice Models, Advanced Studies in Pure Math., Vol. 16. Kinokuniya Company Ltd., Tokyo, 1988, pp. 297-372.
-
(1988)
Conformai Field Theory and Solvable Lattice Models
, vol.16
, pp. 297-372
-
-
Tsuchiya, A.1
Kanie, Y.2
-
42
-
-
45549111952
-
Fusion rules and modular transformations in 2D conformai field theory
-
V
-
[V] E. Verlinde. Fusion rules and modular transformations in 2D conformai field theory. Nucl. Phys. B300 (1988), 360-376.
-
(1988)
Nucl. Phys.
, vol.B300
, pp. 360-376
-
-
Verlinde, E.1
-
43
-
-
0030551014
-
Modular invariance of characters of vertex operator algebras
-
Z
-
[Z] Y. Zhu. Modular invariance of characters of vertex operator algebras. J. Amer. Math. Soc. 9 (1996), 237-307.
-
(1996)
J. Amer. Math. Soc.
, vol.9
, pp. 237-307
-
-
Zhu, Y.1
|