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Irreducible almost simple subgroups of classical algebraic groups /

Let G be a simple classical algebraic group over an algebraically closed field K of characteristic p e"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 irre...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Burness, Timothy C., 1979- (Autor), Ghandour, Soumaia, 1980- (Autor), Marion, Claude, 1982- (Autor), Testerman, Donna M., 1960- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2015.
Colección:Memoirs of the American Mathematical Society ; no. 1114.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:Let G be a simple classical algebraic group over an algebraically closed field K of characteristic p e"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 we classify the triples (G, H, V) of this form, where V = 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, we 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
Notas:"Volume 236, number 1114 (fourth of 6 numbers), July 2015."
Descripción Física:1 online resource (v, 110 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 109-110).
ISBN:9781470422806
1470422808
ISSN:1947-6221 ;