dc.contributor.author | Gorelik, Maria | |
dc.contributor.author | Kac, Victor | |
dc.date.accessioned | 2016-09-29T18:39:47Z | |
dc.date.available | 2016-09-29T18:39:47Z | |
dc.date.issued | 2015-06 | |
dc.date.submitted | 2015-03 | |
dc.identifier.issn | 0289-2316 | |
dc.identifier.issn | 1861-3624 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/104442 | |
dc.description.abstract | In the paper we consider the problem of computation of characters of relatively integrable irreducible highest weight modules L over finite-dimensional basic Lie superalgebras and over affine Lie superalgebras g. The problem consists of two parts. First, it is the reduction of the problem to the [bar over g]-module F(L), where [bar over g] is the associated to L integral Lie superalgebra and F(L) is an integrable irreducible highest weight [bar over g]-module. Second, it is the computation of characters of integrable highest weight modules. There is a general conjecture concerning the first part, which we check in many cases. As for the second part, we prove in many cases the KW-character formula, provided that the KW-condition holds, including almost all finite-dimensional g-modules when g is basic, and all maximally atypical non-critical integrable g-modules when g is affine with non-zero dual Coxeter number. | en_US |
dc.description.sponsorship | Simons Foundation. Postdoctoral Fellowship | en_US |
dc.publisher | Springer Japan | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1007/s11537-015-1464-2 | en_US |
dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
dc.source | Springer Japan | en_US |
dc.title | Characters of (relatively) integrable modules over affine Lie superalgebras | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Gorelik, Maria, and Victor G. Kac. “Characters of (Relatively) Integrable Modules over Affine Lie Superalgebras.” Japanese Journal of Mathematics 10.2 (2015): 135–235. | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Kac, Victor | |
dc.relation.journal | Japanese Journal of Mathematics | en_US |
dc.eprint.version | Author's final manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2016-08-18T15:22:05Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | The Mathematical Society of Japan and Springer Japan | |
dspace.orderedauthors | Gorelik, Maria; Kac, Victor G. | en_US |
dspace.embargo.terms | N | en |
dc.identifier.orcid | https://orcid.org/0000-0002-2860-7811 | |
mit.license | OPEN_ACCESS_POLICY | en_US |
mit.metadata.status | Complete | |