Standard monomial bases and degenerations of SOm(C) representations

被引：4

作者：

Kim, Sangjib ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

JOURNAL OF ALGEBRA | 2009年 / 322卷 / 11期

关键词：

Young tableaux; Gelfand-Tsetlin patterns; Standard monomials; Toric degenerations; SCHUBERT VARIETIES; CLASSICAL-GROUPS; FLAG-ALGEBRAS; SAGBI BASES;

D O I：

10.1016/j.jalgebra.2009.08.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We Study explicit weight bases for the finite dimensional representations of SO(m). Using a flat degeneration technique, we describe the representation spaces via a lattice cone associated with the Gelfand-Tsetlin patterns for GL(m). Combinatorial descriptions of the weight bases for SO(m) relative to those for GL(m) will be given. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：3896 / 3911

页数：16

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