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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| Дата: | 2021 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2021
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188715 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188715 |
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dspace |
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irk-123456789-1887152023-03-13T19:09:55Z A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra Choi, C. Kim, S. Seo, H. 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). 2021 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/188715 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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). |
| format |
Article |
| author |
Choi, C. Kim, S. Seo, H. |
| spellingShingle |
Choi, C. Kim, S. Seo, H. A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra Algebra and Discrete Mathematics |
| author_facet |
Choi, C. Kim, S. Seo, H. |
| author_sort |
Choi, C. |
| title |
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_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_sort |
filtration on the ring of laurent polynomials and representations of the general linear lie algebra |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2021 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188715 |
| 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. |
| series |
Algebra and Discrete Mathematics |
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