Irreducible representations of semisimple algebraic groups and supersolvable lattices

被引：1

作者：

Can, Mahir Bilen ^{[1
]}

机构：

[1] Tulane Univ, New Orleans, LA 70118 USA

来源：

JOURNAL OF ALGEBRA | 2012年 / 351卷 / 01期

关键词：

Irreducible representations of semisimple groups; J-irreducible monoids; Cross section lattices; Supersolvable lattices; Characteristic polynomials; Mobius functions; SHELLABILITY; MONOIDS; CLASSIFICATION; POSETS;

D O I：

10.1016/j.jalgebra.2011.11.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Lambda be the cross section lattice of an irreducible representation of a semisimple algebraic group. Certain combinatorial properties of Lambda are studied. Supersolvable Lambda'S are determined in terms of Dynkin diagrams. The characteristic polynomial of a supersolvable Lambda is computed. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：235 / 250

页数：16

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