Irreducible geometric subgroups of classical algebraic groups
著者
書誌事項
Irreducible geometric subgroups of classical algebraic groups
（Memoirs of the American Mathematical Society, no. 1130）
American Mathematical Society, [2016], c2015
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注記
"January 2016, volume 239, number 1130 (second of 6 numbers)."
Includes bibliographical references
内容説明・目次
内容説明
Let $G$ be a simple classical algebraic group over an algebraically closed field $K$ of characteristic $p \ge 0$ with natural module $W$. Let $H$ be a closed subgroup of $G$ and let $V$ be a non-trivial irreducible tensor-indecomposable $p$-restricted rational $KG$-module such that the restriction of $V$ to $H$ is irreducible. In this paper the authors classify the triples $(G,H,V)$ of this form, where $H$ is a disconnected maximal positive-dimensional closed subgroup of $G$ preserving a natural geometric structure on $W$.
目次
Introduction
Preliminaries
The $\mathcal{C}_1, \mathcal{C}_3$ and $\mathcal{C}_6$ collections
Imprimitive subgroups
Tensor product subgroups, I
Tensor product subgroups, II
Bibliography
「Nielsen BookData」 より
