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Chari, Vyjayanthi; Pressley, Andrew
Unitary representations of the Virasoro algebra and a conjecture of Kac. Compositio Mathematica, 67 no. 3 (1988), p. 315-342
Full text djvu | pdf | Reviews MR 959215 | Zbl 0661.17022 | 1 citation in Numdam
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1 D. Friedan, Z. Qiu and S. Shenker, Conformal invariance, unitarity and two-dimensional critical exponents. Vertex Operators in Mathematics and Physics, 419-449, MSRI Publications No. 4, Springer (1985). MR 781390 | Zbl 0559.58010
2 D. Friedan, Z. Qiu and S. Shenker, Superconformal invariance in two dimensions and the tricritical Ising model, Phys. Lett. 151 B (1985) 37-43. MR 778509
3 D. Friedan, Z. Qiu and S. Shenker, Details of the non-unitarity proof for highest weight representations of the Virasoro algebra, Commun. Math. Phys. 107 (1986) 535-542.
Article | MR 868732 | Zbl 0608.17010
4 P. Goddard, A. Kent and D. Olive, Virasoro algebras and coset space models, Phys. Lett. 152B (1985) 88-93. MR 778819 | Zbl 0661.17015
5 P. Goddard, A. Kent and D. Olive, Unitary representations of the Virasoro and super-Virasoro algebras, Commun. Math. Phys. 103 (1986) 105-119.
Article | MR 826859 | Zbl 0588.17014
6 V.G. Kac, Lie superalgebras, Advances in Math. 26 (1977) 8-96. MR 486011 | Zbl 0366.17012
7 V.G. Kac, 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 562619 | Zbl 0425.17009
8 V.G. Kac, 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 675110 | Zbl 0493.17011
9 V.G. Kac and M. Wakimoto, 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 870235
10 I. Kaplansky, The Virasoro algebra, Commun. Math. Phys. 86 (1982) 49-54.
Article | MR 678001 | Zbl 0515.17007
11 I. Kaplansky and L.J. Santharoubane, Harish Chandra modules over the Virasoro algebra. Infinite-dimensional groups with applications, 217-231, MSRI Publications No. 5, Springer (1985). MR 823321 | Zbl 0589.17013
12 A.A. Kirillov, Unitary representations of the group of diffeomorphisms and of some of its subgroups, Selecta Math. Soviet. 1 (1981) 351-372. MR 697287 | Zbl 0515.58009
13 A.W. Knapp, Representation theory of semisimple groups, Princeton University Press, Princeton (1986). MR 855239 | Zbl 0604.22001
14 I.A. Kostrikin, Irreducible graded representations of Lie algebras of Cartan type, Soviet Math. Dokl. 19 (1978) 1369-1371. Zbl 0412.17013
15 R.P. Langlands, 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 1114998 | Zbl 0748.17025
16 A. Tsuchiya and Y. Kanie, Unitary representations of the Virasoro algebra, Duke Math. J. 53 (1986) 1013-1046.
Article | MR 874679 | Zbl 0611.17005
17 D.A. Vogan, Jr., Representations of real reductive Lie groups. Progress in Mathematics 15, Birkhäuser, Boston (1981). MR 632407 | Zbl 0469.22012
18 E.T. Whittaker and G.N. Watson, A course of modern analysis, 4th edition, Cambridge University Press, Cambridge (1978). MR 1424469 | JFM 45.0433.02 |
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