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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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Інститут прикладної математики і механіки НАН України
2017
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/155911 |
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irk-123456789-1559112019-06-18T01:28:46Z A new way to construct 1-singular Gelfand-Tsetlin modules Zadunaisky, P. 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 2017 Article 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 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 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 |
| format |
Article |
| author |
Zadunaisky, P. |
| spellingShingle |
Zadunaisky, P. A new way to construct 1-singular Gelfand-Tsetlin modules Algebra and Discrete Mathematics |
| author_facet |
Zadunaisky, P. |
| author_sort |
Zadunaisky, P. |
| title |
A new way to construct 1-singular Gelfand-Tsetlin modules |
| title_short |
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_sort |
new way to construct 1-singular gelfand-tsetlin modules |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155911 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT zadunaiskyp anewwaytoconstruct1singulargelfandtsetlinmodules AT zadunaiskyp newwaytoconstruct1singulargelfandtsetlinmodules |
| first_indexed |
2023-05-20T17:48:22Z |
| last_indexed |
2023-05-20T17:48:22Z |
| _version_ |
1796154136680464384 |