Irreducible Geometric Subgroups of Classical Algebraic Groups

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

  • Author : Timothy C. Burness,
  • Release Date : 2016-01-25
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 100
  • ISBN 13 : 1470414945
  • File Size : 78,78 MB
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Irreducible Geometric 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 non-trivial irreducible tensor-indecomposable -restricted rational -module such that the restriction of to is irreducible. In this paper the authors classify the triples of this form, where is a disconnected maximal positive-dimensional closed subgroup of preserving a natural geometric structure on .

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Classical Groups and Geometric Algebra

Classical Groups and Geometric Algebra

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A graduate-level text on the classical groups: groups of matrices, or (more often) quotients of matrix groups by small normal subgroups. It pulls together into