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

dc.contributor.author	Zadunaisky, P.
dc.date.accessioned	2020-01-13T09:32:10Z
dc.date.available	2020-01-13T09:32:10Z
dc.date.issued	2017
dc.identifier.uri	http://hdl.handle.net/123456789/4624
dc.description	Zadunaisky P. A new way to construct 1-singular Gelfand-Tsetlin modules / P. Zadunaisky // Algebra and Discrete Mathematics. - 2017. - Vol. 23. - Number 1. - Рp. 180-193	uk_UA
dc.description.abstract	We present a simplified way to construct the Gelfand-Tsetlin modules over gl(n, C) related to a 1-singular GT- tableau defined in [6]. We begin by reframing the classical construc- tion of generic Gelfand-Tsetlin modules found in [3], showing that they form a flat family over generic points of C( n 2) . 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.language.iso	en	uk_UA
dc.publisher	ДЗ "ЛНУ імені Тараса Шевченка"	uk_UA
dc.relation.ispartofseries	математичні науки;
dc.subject	Gelfand-Tsetlin modules	uk_UA
dc.subject	Gelfand-Tsetlin bases	uk_UA
dc.subject	tableaux realization	uk_UA
dc.title	A new way to construct 1-singular Gelfand-Tsetlin modules	uk_UA
dc.type	Article	uk_UA