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Irreducible Geometric Subgroups of Classical Algebraic Groups

Timothy Burness
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      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 $W$.
      Format: Paperback / softback CONTRIBUTORS: Timothy Burness EAN: 9781470414948 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2016-01-01 CITY: GENRE: MATHEMATICS / Algebra / Linear WIDTH: 178 cm SPINE:

      Book Themes:

      Algebra, Algebraic geometry

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      Timothy Burness, University of Bristol, United Kingdom.Soumaia Ghandour, Lebanese University, Nabatieh, Lebanon.Donna M. Testerman, Ecole Polytechnique Federale de Lausanne, Switzerland.
      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 $W$.
      Format: Paperback / softback CONTRIBUTORS: Timothy Burness EAN: 9781470414948 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2016-01-01 CITY: GENRE: MATHEMATICS / Algebra / Linear WIDTH: 178 cm SPINE:

      Book Themes:

      Algebra, Algebraic geometry

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      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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