Irreducible almost simple subgroups of classical algebraic groups. Memoirs of the American Mathematical Society; Bd. 1114 = Vol. 236,4.

Burness, Timothy C.; Ghandour, Soumaia; Marion, Claude; Testerman, Donna M.

ISBN 10: 147041046X / ISBN 13: 9781470410469

Editore: Providence, American Math. Soc, 2015

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Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02548 9781470410469 Sprache: Englisch Gewicht in Gramm: 150.

Codice articolo 2488416

Dati bibliografici

• Titolo: Irreducible almost simple subgroups of classical algebraic groups. Memoirs of the American Mathematical Society; Bd. 1114 = Vol. 236,4.
• Editore: Providence, American Math. Soc
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 147041046X
• ISBN 13: 9781470410469
• Rilegatura: Softcover
• Condizione: Gut
• Peso: 150 grammi
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

Riassunto

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.