Publications
Detailed Information
Quantum deformations of generalized Kac-Moody algebras and their modules
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, Seok-Jin | - |
dc.date.accessioned | 2009-11-16T04:16:21Z | - |
dc.date.available | 2009-11-16T04:16:21Z | - |
dc.date.issued | 1995 | - |
dc.identifier.citation | J. Algebra 175 (1995), 1041-1066 | en |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | https://hdl.handle.net/10371/12190 | - |
dc.description.abstract | We construct quantum groups U_q(g) associated with generalized Kac-Moody algebras g with admissible Borcherds-Cartan matrices. We also construct quantum deformations of highest weight modules over U(g) with integral highest weights. We sho that, for generic q, Verma modules over U(g) with integral highest weights and irreducible highest weight modules over U(g) with dominant integral highests can be deformed to those over U_q(g) in such a way that the dimensions of weight spaces are invariant under the deformation. In particular, for generic q, the characters of irreducible highest weight modules over U_q(g) with dominant integral highest weights are given by the Weyl-Kac-Borcherds formula. | en |
dc.description.sponsorship | Supported in part by Basic Science Research Institute Progrma, Ministry of Education of Korea, BSRI-94-1414 and GARC-KOSEF at Seoul National University, Korea. | en |
dc.language.iso | en | - |
dc.publisher | Elsevier | en |
dc.title | Quantum deformations of generalized Kac-Moody algebras and their modules | en |
dc.type | Article | en |
dc.contributor.AlternativeAuthor | 강석진 | - |
dc.identifier.doi | 10.1006/jabr.1995.1226 | - |
- Appears in Collections:
- Files in This Item:
- There are no files associated with this item.
Item View & Download Count
Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.