A new way to construct 1-singular Gelfand-Tsetlin modules

dc.contributor.author	Zadunaisky, P.
dc.date.accessioned	2019-06-17T15:25:21Z
dc.date.available	2019-06-17T15:25:21Z
dc.date.issued	2017
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:17B10.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/155911
dc.description.abstract	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	uk_UA
dc.description.sponsorship	The author is a FAPESP PostDoc Fellow, grant: 2016-25984-1 São Paulo ResearchFoundation (FAPESP).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	A new way to construct 1-singular Gelfand-Tsetlin modules	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA