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 $V\downarrow X$ 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：

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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 $(X,是,伏)$， 在哪里 $X,是$ 是特征为零的代数闭域上的简单代数群，其中 $X<是$, V是Y的不可约模，使得限制$伏\downarrow X$是无多重性的。在本文中，我们处理X是A类型的情况，并且不可约地嵌入到Y类型中$乙,C$或d。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。