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...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2017 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2017
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155911 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-155911 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A new way to construct 1-singular Gelfand-Tsetlin modules |
| spellingShingle |
A new way to construct 1-singular Gelfand-Tsetlin modules Zadunaisky, P. |
| 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 |
| author |
Zadunaisky, P. |
| author_facet |
Zadunaisky, P. |
| publishDate |
2017 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT zadunaiskyp anewwaytoconstruct1singulargelfandtsetlinmodules AT zadunaiskyp newwaytoconstruct1singulargelfandtsetlinmodules |
| first_indexed |
2025-12-07T16:40:20Z |
| last_indexed |
2025-12-07T16:40:20Z |
| _version_ |
1850868362768285696 |