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Polynomial identities for orbit numbers of general linear and unitary groups over finite fields

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Publication:677146
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DOI10.1016/S0024-3795(96)00740-9zbMath0886.20032MaRDI QIDQ677146

Peter Fleischmann

Publication date: 12 May 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

partitionsnumbers of conjugacy classesnumbers of orbitsLie algebrasgenusconnected reductive algebraic groupsorbits of matricessemisimple classes of orbits


Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)


Related Items

Finite fields, root systems, and orbit numbers of Chevalley groups ⋮ Squarefree polynomials over finite fields and regular semisimple classes of certain classical groups



Cites Work

  • Unnamed Item
  • Conjugacy classes in projective and special linear groups
  • Numbers of conjugacy classes in some finite classical groups
  • On the conjugacy classes in the unitary, symplectic and orthogonal groups
  • Linear algebraic groups.


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