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Multiplicity-free representations of algebraic groups II
Journal of Algebra ( IF 0.8 ) Pub Date : 2021-07-14 , DOI: 10.1016/j.jalgebra.2021.07.003
Martin W. Liebeck 1 , Gary M. Seitz 2 , Donna M. Testerman 3
Affiliation  

We continue our work, started in [9], on the program of classifying triples (X,Y,V), where X,Y are simple algebraic groups over an algebraically closed field of characteristic zero with X<Y, and V is an irreducible module for Y such that the restriction VX is multiplicity-free. In this paper we handle the case where X is of type A, and is irreducibly embedded in Y of type B,C or D. It turns out that there are relatively few triples for X of arbitrary rank, but a number of interesting exceptional examples arise for small ranks.



中文翻译:

代数群 II 的无重数表示

我们继续我们的工作,从 [9] 开始,关于分类三元组的程序 (X,,), 在哪里 X, 是特征为零的代数闭域上的简单代数群,其中 X<, VY的不可约模,使得限制X是无多重性的。在本文中,我们处理XA类型的情况,并且不可约地嵌入到Y类型中,Cd。事实证明,任意秩的X的三元组相对较少,但是对于小秩出现了许多有趣的例外示例。

更新日期:2021-07-14
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