THE RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPES Bn AND Dn TO SUBGROUPS OF TYPE A2

被引：0

作者：

Osinovskaya, Anna A. ^{[1
]}

机构：

[1] Natl Acad Sci Belarus, Inst Math, Surganova 11, Minsk 220072, BELARUS

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2005年 / 4卷 / 05期

关键词：

Algebraic groups; representations; restrictions to subgroups;

D O I：

10.1142/S0219498805001344

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Restrictions of modular p-restricted representations of algebraic groups of types B-n (n > 2) and D-n (n > 3) to naturally embedded subgroups of type A(2) are studied. The composition factors of such restrictions are determined in the case of locally small highest weights. Here the class of locally small weights depends upon the type of a group considered and is defined in terms of their values on four simple roots linked at the Dynkin diagram of a group.

引用

页码：467 / 479

页数：13

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