Elementary divisors of the Shapovalov form on the basic representation of Kac-Moody algebras

被引：8

作者：

Hill, David ^{[1
]}

机构：

[1] Univ Calif Berkeley, Berkeley, CA 94720 USA

来源：

JOURNAL OF ALGEBRA | 2008年 / 319卷 / 12期

关键词：

Kac-Moody algebras; symmetric groups and Hecke algebras; Shapovalov form;

D O I：

10.1016/j.jalgebra.2007.11.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We calculate the invariant factors of the standard lattice V(Z) inside the basic representation of untwisted Kac-Moody algebras of ADE-type. This, in turn, gives the invariant factors of Cartan matrices for symmetric groups in prime characteristic as well as for the Iwahori-Hecke algebra at roots of unity. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：5208 / 5246

页数：39

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