Dual pairs and tensor categories of modules over Lie algebras gl̂∞and W1+ ∞

Journal of Algebra

Volumn 216, Issue 1, 1999, Pages 159-177

  Wang, Weiqiang ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033147603     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1998.7786     Document Type: Article

References (14)

1. Date E., Jimbo M., Kashiwara M., Miwa T. Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations III. J. Phys. Soc. Japan. 50:1981;3806-3812.
2. Feingold A., Frenkel I. Classical affine algebras. Adv. Math. 56:1985;117-172.
3. N) with central charge N. Comm. Math. Phys. 170:1995;337-357.
4. Frenkel I. Representations of Affine Lie Algebras, Hecke Modular Forms and Korteweg-de Vries Type Equations. Lecture Notes in Mathematics. 933:1982;Springer-Verlag, Berlin. p. 71-110.
5. Friedan D., Martinec E., Shenker S. Conformal invariance, supersymmetry and string theory. Nucl. Phys. B. 271:1986;93-165.
6. Howe R. Remarks on classical invariant theory. Trans. Amer. Math. Soc. 313:1989;539-570.
7. Howe R. Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond. Israel Math. Conf. Proc. 8:1992;1-182.
8. Kac V. Infinite Dimensional Lie Algebras. 1990;Cambridge Univ. Press, Cambridge.
9. Kac V., Radul A. Quasi-finite highest weight modules over the Lie algebra of differential operators on the circle. Comm. Math. Phys. 157:1993;429-457.
10. 1 + ∞. Transfer Groups. 1:1996;41-70.
11. Kac V., Raina A. Bombay lectures on highest weight representations of infinite dimensional Lie algebras. Adv. Ser. Math. Phys. 2:1987.
12. Kudla S. Seesaw dual reductive pairs. Satake I., Morita Y. Automorphic Forms of Several Variables. Proceedings of the 1983 Taniguchi Symposium. 1984;244-268 Birkhäuser, Basel.
13. Macdonald I. Symmetric Functions and Hall Polynomials. 1995;Oxford, Univ. Press, London.
14. 1 + ∞3. Comm. Math. Phys. 195:1998;95-111.