Irreducible Almost Simple Subgroups of Classical Algebraic Groups

Released on by Timothy C. Burness
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  • Irreducible Almost Simple Subgroups of Classical Algebraic Groups Book Detail

  • Author : Timothy C. Burness
  • Release Date : 2015-06-26
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 122
  • ISBN 13 : 147041046X
  • File Size : 86,86 MB
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Irreducible Almost Simple Subgroups of Classical Algebraic Groups by Timothy C. Burness PDF Summary

Book Description: Let be a simple classical algebraic group over an algebraically closed field of characteristic with natural module . Let be a closed subgroup of and let be a nontrivial -restricted irreducible tensor indecomposable rational -module such that the restriction of to is irreducible. In this paper the authors classify the triples of this form, where and is a disconnected almost simple positive-dimensional closed subgroup of acting irreducibly on . Moreover, by combining this result with earlier work, they complete the classification of the irreducible triples where is a simple algebraic group over , and is a maximal closed subgroup of positive dimension.

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