Semi-infinite induction and Wakimoto modules

American Journal of Mathematics

Volumn 121, Issue 5, 1999, Pages 1079-1094

  Voronov, Alexander A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033211931     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.1999.0037     Document Type: Article

References (15)

1. E. Arbarello, C. De Concini, V. G. Kac, and C. Procesi, Moduli spaces of curves and representation theory, Comm. Math. Phys. 117 (1988), 1-36.
2. S. M. Arkhipov, A new construction of the semi-infinite BGG resolution, preprint, Independent University of Moscow, May 1996, q-alg/9605043.
3. _, Semiinfinite cohomology of quantum groups, Comm. Math. Phys. 188 (1997), 379-405, q-alg/9601026.
4. _, Semi-infinite cohomology of quantum groups II, Topics in Quantum Groups and Finite-type Invariants, Transl. Math. Monographs, vol. 185 (38), Amer. Math. Soc., Providence, RI, 1998, pp. 3-42, q-alg/9610020.
5. N. Berkovits and C. Vafa, On the uniqueness of string theory, Modern Phys. Lett. A 9 (1994), 653-663.
6. B. L. Feigin, Semi-infinite homology of Lie, Kac-Moody and Virasoro algebras, Uspekhi Mat. Nauk 39 (1984), 195-196 (Russian).
7. B. L. Feigin and E. V. Frenkel, Affine Kac-Moody algebras and semi-infinite flag manifolds, Comm. Math. Phys. 128 (1990), 161-189.
8. J. M. Figueroa-O'Farrill, The mechanism behind the embeddings of string theories, Nuclear Phys. B 432 (1994), 404-424.
9. _, On the universal string theory, Phys. Lett. B 321 (1994), 344-348.
10. I. B. Frenkel, H. Garland, and G. J. Zuckerman, Semi-infinite cohomology and string theory, Proc. Nat. Acad. Sci. U.S.A. 83 (1986), 8442-8446.
11. V. Kats, Beckoheyhomephble ajizeopu, JIu, Mir, Moscow, 1993 (Russian; translated from 1990 English edition by A. I. Molev, edited by V. L. Popov); English ed., Infinite Dimensional Lie Algebras, Cambridge Univ. Press, 1990.
12. V. Kats, Beckoheyhomephble ajizeopu, JIu, Mir, Moscow, 1993 (Russian; translated from 1990 English edition by A. I. Molev, edited by V. L. Popov); English ed., Infinite Dimensional Lie Algebras, Cambridge Univ. Press, 1990.
13. B. H. Lian and G. J. Zuckerman, An application of infinite-dimensional Lie theory to semisimple Lie groups, Representation Theory of Groups and Algebras, Contemp. Math., vol. 145, Amer. Math. Soc., Providence, RI, 1993, pp. 249-257.
14. W. Soergel, Charakterformeln für Kipp-Moduln über Kac-Moody-Algebren, Represent. Theory 1 (1997), 115-132 (electronic).
15. A. A. Voronov, Semi-infinite homological algebra, Invent. Math. 113 (1993), 103-146.