Browse

Quantum deformations of generalized Kac-Moody algebras and their modules

DC Field Value Language
dc.contributor.authorKang, Seok-Jin-
dc.date.accessioned2009-11-16T04:16:21Z-
dc.date.available2009-11-16T04:16:21Z-
dc.date.issued1995-
dc.identifier.citationJ. Algebra 175 (1995), 1041-1066en
dc.identifier.issn0021-8693-
dc.identifier.urihttps://hdl.handle.net/10371/12190-
dc.description.abstractWe 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.sponsorshipSupported 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.isoen-
dc.publisherElsevieren
dc.titleQuantum deformations of generalized Kac-Moody algebras and their modulesen
dc.typeArticleen
dc.contributor.AlternativeAuthor강석진-
dc.identifier.doi10.1006/jabr.1995.1226-
Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
Files in This Item:
There are no files associated with this item.
  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse