Irreducible almost simple subgroups of classical algebraic groups
著者
書誌事項
Irreducible almost simple subgroups of classical algebraic groups
（Memoirs of the American Mathematical Society, no. 1114）
American Mathematical Society, 2015, c2014
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注記
"Volume 236, number 1114 (fourth of 6 numbers), July 2015"
Includes bibliographical references (p. 109-110)
Other authers: Soumaïa Ghandour, Claude Marion, Donna M. Testerman
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 $p\geq 0$ with natural module $W$. Let $H$ be a closed subgroup of $G$ and let $V$ be a nontrivial $p$-restricted irreducible tensor indecomposable 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 $V \neq W,W^{*}$ and $H$ is a disconnected almost simple positive-dimensional closed subgroup of $G$ acting irreducibly on $W$. Moreover, by combining this result with earlier work, they complete the classification of the irreducible triples $(G,H,V)$ where $G$ is a simple algebraic group over $K$, and $H$ is a maximal closed subgroup of positive dimension.
目次
Introduction
Preliminaries
The case $H^0 = A_m$
The case $H^0=D_m$, $m \ge 5$
The case $H^0=E_6$
The case $H^0 = D_4$
Proof of Theorem 5
Notation
Bibliography
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