Irreducible Geometric Subgroups of Classical Algebraic Groups (Memoirs of the American Mathematical Society)

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9781470414948: Irreducible Geometric Subgroups of Classical Algebraic Groups (Memoirs of the American Mathematical Society)

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 $W$.

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About the Author:

Timothy Burness, University of Bristol, United Kingdom. Soumaia Ghandour, Lebanese University, Nabatieh, Lebanon. Donna M. Testerman, Ecole Polytechnique Federale de Lausanne, Switzerland.

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Book Description American Mathematical Society, United States, 2016. Paperback. Book Condition: New. Language: English . Brand New Book. 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 $W$. Bookseller Inventory # AAN9781470414948

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Book Description American Mathematical Society, United States, 2016. Paperback. Book Condition: New. Language: English . Brand New Book. 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 $W$. Bookseller Inventory # AAN9781470414948

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