A new way to construct 1-singular Gelfand-Tsetlin modules
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A new way to construct 1-singular Gelfand-Tsetlin modules
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| Creator |
Zadunaisky, P.
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| 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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| Date |
2019-06-17T15:25:21Z
2019-06-17T15:25:21Z 2017 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/155911 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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