@article{CM_1988__67_3_315_0, author = {Chari, Vyjayanthi and Pressley, Andrew}, title = {Unitary representations of the {Virasoro} algebra and a conjecture of {Kac}}, journal = {Compositio Mathematica}, pages = {315--342}, publisher = {Kluwer Academic Publishers}, volume = {67}, number = {3}, year = {1988}, mrnumber = {959215}, zbl = {0661.17022}, language = {en}, url = {http://archive.numdam.org/item/CM_1988__67_3_315_0/} }
TY - JOUR AU - Chari, Vyjayanthi AU - Pressley, Andrew TI - Unitary representations of the Virasoro algebra and a conjecture of Kac JO - Compositio Mathematica PY - 1988 SP - 315 EP - 342 VL - 67 IS - 3 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1988__67_3_315_0/ LA - en ID - CM_1988__67_3_315_0 ER -
%0 Journal Article %A Chari, Vyjayanthi %A Pressley, Andrew %T Unitary representations of the Virasoro algebra and a conjecture of Kac %J Compositio Mathematica %D 1988 %P 315-342 %V 67 %N 3 %I Kluwer Academic Publishers %U http://archive.numdam.org/item/CM_1988__67_3_315_0/ %G en %F CM_1988__67_3_315_0
Chari, Vyjayanthi; Pressley, Andrew. Unitary representations of the Virasoro algebra and a conjecture of Kac. Compositio Mathematica, Volume 67 (1988) no. 3, pp. 315-342. http://archive.numdam.org/item/CM_1988__67_3_315_0/
1 Conformal invariance, unitarity and two-dimensional critical exponents. Vertex Operators in Mathematics and Physics, 419-449, MSRI Publications No. 4, Springer (1985). | MR | Zbl
, and ,2 Superconformal invariance in two dimensions and the tricritical Ising model, Phys. Lett. 151 B (1985) 37-43. | MR
, and ,3 Details of the non-unitarity proof for highest weight representations of the Virasoro algebra, Commun. Math. Phys. 107 (1986) 535-542. | MR | Zbl
, and ,4 Virasoro algebras and coset space models, Phys. Lett. 152B (1985) 88-93. | MR | Zbl
, and ,5 Unitary representations of the Virasoro and super-Virasoro algebras, Commun. Math. Phys. 103 (1986) 105-119. | MR | Zbl
, and ,6 Lie superalgebras, Advances in Math. 26 (1977) 8-96. | MR | Zbl
,7 Highest weight representations of infinite-dimensional Lie algebras. Proceedings of the International Congress of Mathematicians (Helsinki, 1978), 299-304, Acad. Sci. Fennica, Helsinki (1980). | MR | Zbl
,8 Some problems of infinite-dimensional Lie algebras and their representations. Lie algebras and related topics, 117-126, Lecture Notes in Mathematics, 933, Springer (1982). | MR | Zbl
,9 Unitarizable highest weight representations of the Virasoro, Neveu-Schwarz and Ramond algebras. Conformal groups and related symmetries: physical results and mathematical background, 345-371, Lecture Notes in Physics, 261, Springer, 1986. | MR
and ,10 The Virasoro algebra, Commun. Math. Phys. 86 (1982) 49-54. | MR | Zbl
,11 Harish Chandra modules over the Virasoro algebra. Infinite-dimensional groups with applications, 217-231, MSRI Publications No. 5, Springer (1985). | MR | Zbl
and ,12 Unitary representations of the group of diffeomorphisms and of some of its subgroups, Selecta Math. Soviet. 1 (1981) 351-372. | MR | Zbl
,13 Representation theory of semisimple groups, Princeton University Press, Princeton (1986). | MR | Zbl
,14 Irreducible graded representations of Lie algebras of Cartan type, Soviet Math. Dokl. 19 (1978) 1369-1371. | Zbl
,15 On unitary representations of the Virasoro algebra. Proceedings of the Montreal workshop on infinite-dimensional Lie algebras and their applications, S. Kass, ed., to appear. | MR | Zbl
,16 Unitary representations of the Virasoro algebra, Duke Math. J. 53 (1986) 1013-1046. | MR | Zbl
and ,17 Representations of real reductive Lie groups. Progress in Mathematics 15, Birkhäuser, Boston (1981). | MR | Zbl
,18 A course of modern analysis, 4th edition, Cambridge University Press, Cambridge (1978). | JFM | MR
and ,