B-stable ideals in the nilradical of a Borel subalgebra

被引：48

作者：

Sommers, EN ^{[1
]}

机构：

[1] Univ Massachusetts, Amherst, MA 01003 USA

[2] Inst Adv Study, Princeton, NJ 08540 USA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2005年 / 48卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.4153/CMB-2005-043-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We count the number of strictly positive B-stable ideals in the nilradical of a Borel subalgebra and prove that the minimal roots of any B-stable ideal are conjugate by an element of the Weyl group to a subset of the simple roots. We also count the number of ideals whose minimal roots are conjugate to a fixed subset of simple roots.

引用

页码：460 / 472

页数：13

共 16 条

[1] Generalized catalan numbers, Weyl groups and arrangements of hyperplanes [J].