Irreducible Almost Simple Subgroups of Classical Algebraic Groups

Häftad, Engelska, 2015

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

1 229 kr

Tillfälligt slut

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.

Produktinformation

  • Utgivningsdatum2015-07-30
  • Mått178 x 254 x undefined mm
  • Vikt187 g
  • FormatHäftad
  • SpråkEngelska
  • SerieMemoirs of the American Mathematical Society
  • FörlagAmerican Mathematical Society
  • ISBN9781470410469