Restrictions of irreducible representations of classical algebraic groups to root A1-subgroups

被引:9
|
作者
Osinovskaya, AA [1 ]
机构
[1] Natl Acad Sci, Inst Math, Minsk 220072, BELARUS
关键词
algebraic groups; representations; restrictions to subgroups;
D O I
10.1081/AGB-120019001
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Restrictions of irreducible representations of classical algebraic groups to root A(1)-subgroups, i.e., subgroups of type A(1) generated by root subgroups associated with two opposite roots, are studied. Composition factors of such restrictions are found in the following cases:, for groups of types A(n) with n > 2 and D-n, for groups of type B-n, n > 2, and long root subgroups, for groups of type C, n > 2, and short root subgroups, and for p-restricted representations of A(2)(K), C-2(K) (recall that B-2(K) congruent to C-2(K)), and of B-n(K), n > 2, and short root subgroups. Here we assume that p > 2 for G = B-n(K) or C-n(K).
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页码:2357 / 2379
页数:23
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