A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra
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, generalizin...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2021 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188715 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra / C. Choi, S. Kim, H. Seo // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 9–32. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862602966450569216 |
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| author | Choi, C. Kim, S. Seo, H. |
| author_facet | Choi, C. Kim, S. Seo, H. |
| citation_txt | A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra / C. Choi, S. Kim, H. Seo // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 9–32. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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).
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| first_indexed | 2025-11-28T05:51:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188715 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-28T05:51:42Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Choi, C. Kim, S. Seo, H. 2023-03-12T18:02:44Z 2023-03-12T18:02:44Z 2021 A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra / C. Choi, S. Kim, H. Seo // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 9–32. — Бібліогр.: 6 назв. — англ. 1726-3255 DOI:10.12958/adm1304 2020 MSC: 16S34, 16W70, 17B10, 17B45. https://nasplib.isofts.kiev.ua/handle/123456789/188715 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). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra Article published earlier |
| spellingShingle | A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra Choi, C. Kim, S. Seo, H. |
| title | A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra |
| title_full | A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra |
| title_fullStr | A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra |
| title_full_unstemmed | A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra |
| title_short | A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra |
| title_sort | filtration on the ring of laurent polynomials and representations of the general linear lie algebra |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188715 |
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