On restrictions of Irreducible Modular Representations of Semisimple Algebraic Groups and Symmetric Groups to Some Natural Subgroups, I

On restrictions of Irreducible Modular Representations of Semisimple Algebraic Groups and Symmetric Groups to Some Natural Subgroups, I
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关于半单代数群和对称群的不可约模表示对某些自然子群的限制,I

DOI:
10.1112/plms/s3-69.3.515
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发表时间:
1994
影响因子:
1.8
通讯作者:
A. Kleshchev
A. Kleshchev
中科院分区:
数学1区
文献类型:
--
作者:
A. Kleshchev

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设K是正特征p!的代数闭域。本文证明了代数群上的所有模都是有限维有理的。让我们考虑~Ni~Ersal Chvalley群的以下自然嵌入:
Let K be an algebraically closed field of positive characteristic p.! Chro~@ out the paper all modules over algebraic groups are ass~ uned to be finite-dimensional and rational. Let us consider the following natural embeddings of~ ni~ ersal Chevalley groups: