A filtration on the ring of laurent polynomials and representations of the general linear lie algebra
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, C. | - |
dc.contributor.author | Kim, S. | - |
dc.contributor.author | Seo, H. | - |
dc.date.accessioned | 2022-05-18T00:41:30Z | - |
dc.date.available | 2022-05-18T00:41:30Z | - |
dc.date.created | 2022-05-17 | - |
dc.date.issued | 2021 | - |
dc.identifier.issn | 1726-3255 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/141186 | - |
dc.description.abstract | We first present a filtration on the ring Ln of Laurent polynomials such that the direct sum decomposition of its associated graded ring grLn agrees with the direct sum decomposition of grLn, as a module over the complex general linear Lie algebra gl(n), into its simple submodules. Next, generalizing the simple modules occurring in the associated graded ring grLn, we give some explicit constructions of weight multiplicity-free irreducible representations of gl(n). © Algebra and Discrete Mathematics. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | Lugansk Taras Shevchenko National University | - |
dc.title | A filtration on the ring of laurent polynomials and representations of the general linear lie algebra | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, S. | - |
dc.identifier.doi | 10.12958/adm1304 | - |
dc.identifier.scopusid | 2-s2.0-85119104085 | - |
dc.identifier.bibliographicCitation | Algebra and Discrete Mathematics, v.32, no.1, pp.9 - 32 | - |
dc.relation.isPartOf | Algebra and Discrete Mathematics | - |
dc.citation.title | Algebra and Discrete Mathematics | - |
dc.citation.volume | 32 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 9 | - |
dc.citation.endPage | 32 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Filtration | - |
dc.subject.keywordAuthor | General linear Lie alge-bra | - |
dc.subject.keywordAuthor | Laurent polynomial | - |
dc.subject.keywordAuthor | Weight module | - |
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