Irreducible Almost Simple Subgroups of Classical Algebraic Groups
Seiten
2015
American Mathematical Society (Verlag)
978-1-4704-1046-9 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-1046-9 (ISBN)
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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.
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.
Timothy C. Burness, University of Bristol, United Kingdom. Soumaia Ghandour, Lebanese University, Nabatieh, Lebanon. Claude Marion, University of Fribourg, Switzerland. Donna M. Testerman, Ecole Polytechnique Federale de Lausanne, Switzerland.
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
Erscheint lt. Verlag | 30.7.2015 |
---|---|
Reihe/Serie | Memoirs of the American Mathematical Society |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 187 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-4704-1046-X / 147041046X |
ISBN-13 | 978-1-4704-1046-9 / 9781470410469 |
Zustand | Neuware |
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Buch | Softcover (2015)
Springer Vieweg (Verlag)
37,99 €