The admissibility of simple bounded modules for an affine Lie algebra

Algebras and Representation Theory

Volumn 3, Issue 2, 2000, Pages 131-149

  Joseph, A ^a,b  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

Affine Lie algebras; Integrable modules

Indexed keywords

EID: 0000600045     PISSN: 1386923X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009985328440     Document Type: Article

References (9)

1. Chari, V.: Integrable representations of affine Lie algebras, Invent. Math. 85 (1986), 317-335.
2. Chari, V. and Pressley, A.: New unitary representations of loop groups, Math. Ann. 275 (1986), 87-104.
3. Chari, V. and Pressley, A.: A new family of irreducible, integrable modules for affine Lie algebras, Math. Ann. 277 (1987), 543-562.
4. Chari, V. and Pressley, A.: Integrable representations of twisted affine Lie algebras, J. Algebra 113 (1988), 1-18.
5. Duflo, M.: Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple, Ann. Math. 105 (1977), 107-120.
6. Greenstein, J.: On characters of bounded sl(2) modules, Preprint, Weizmann Institute, 1999.
7. Joseph, A.: Quantum Groups and their Primitive Ideals, Springer, Berlin, 1997.
8. Joseph, A.: A completion of the quantized enveloping algebra of a Kac-Moody algebra, J. Algebra 214 (1999), 235-275.
9. Kac, V. G.: Infinite Dimensional Lie Algebras, Cambridge University Press, Cambridge, 1985.