A new way to construct 1-singular Gelfand-Tsetlin modules
We present a simplified way to construct the Gelfand-Tsetlin modules overgl(n,C) related to a 1-singular GT-tableau defined in [6]. We begin by reframing the classical construction of generic Gelfand-Tsetlin modules found in [3], showing that they form a flat family over generic points of C(n2). We...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2017 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/155911 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A new way to construct 1-singular Gelfand-Tsetlin modules / P. Zadunaisky // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 180-193. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862700681464381440 |
|---|---|
| author | Zadunaisky, P. |
| author_facet | Zadunaisky, P. |
| citation_txt | A new way to construct 1-singular Gelfand-Tsetlin modules / P. Zadunaisky // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 180-193. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We present a simplified way to construct the Gelfand-Tsetlin modules overgl(n,C) related to a 1-singular GT-tableau defined in [6]. We begin by reframing the classical construction of generic Gelfand-Tsetlin modules found in [3], showing that they form a flat family over generic points of C(n2). We then show that this family can be extended to a flat family over a variety including generic points and 1-singular points for a fixed singular pair of entries. The 1-singular modules are precisely the fibers over these points
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| first_indexed | 2025-12-07T16:40:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155911 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:40:20Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Zadunaisky, P. 2019-06-17T15:25:21Z 2019-06-17T15:25:21Z 2017 A new way to construct 1-singular Gelfand-Tsetlin modules / P. Zadunaisky // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 180-193. — Бібліогр.: 20 назв. — англ. 1726-3255 2010 MSC:17B10. https://nasplib.isofts.kiev.ua/handle/123456789/155911 We present a simplified way to construct the Gelfand-Tsetlin modules overgl(n,C) related to a 1-singular GT-tableau defined in [6]. We begin by reframing the classical construction of generic Gelfand-Tsetlin modules found in [3], showing that they form a flat family over generic points of C(n2). We then show that this family can be extended to a flat family over a variety including generic points and 1-singular points for a fixed singular pair of entries. The 1-singular modules are precisely the fibers over these points The author is a FAPESP PostDoc Fellow, grant: 2016-25984-1 São Paulo ResearchFoundation (FAPESP). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A new way to construct 1-singular Gelfand-Tsetlin modules Article published earlier |
| spellingShingle | A new way to construct 1-singular Gelfand-Tsetlin modules Zadunaisky, P. |
| title | A new way to construct 1-singular Gelfand-Tsetlin modules |
| title_full | A new way to construct 1-singular Gelfand-Tsetlin modules |
| title_fullStr | A new way to construct 1-singular Gelfand-Tsetlin modules |
| title_full_unstemmed | A new way to construct 1-singular Gelfand-Tsetlin modules |
| title_short | A new way to construct 1-singular Gelfand-Tsetlin modules |
| title_sort | new way to construct 1-singular gelfand-tsetlin modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155911 |
| work_keys_str_mv | AT zadunaiskyp anewwaytoconstruct1singulargelfandtsetlinmodules AT zadunaiskyp newwaytoconstruct1singulargelfandtsetlinmodules |