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The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic


About this Title

I. D. Suprunenko

Publication: Memoirs of the American Mathematical Society
Publication Year 2009: Volume 200, Number 939
ISBNs: 978-0-8218-4369-7 (print); 978-1-4704-0553-3 (online)
DOI: http://dx.doi.org/10.1090/memo/0939
MathSciNet review: 2526956
MSC (2000): Primary 20G05; Secondary 20G15

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Table of Contents


Chapters

  • 1. Introduction
  • 2. Notation and preliminary facts
  • 3. The general scheme of the proof of the main results
  • 4. -large representations
  • 5. Regular unipotent elements for ,
  • 6. A special case for
  • 7. The exceptional cases in Theorem 1.7
  • 8. Theorem 1.9 for regular unipotent elements and groups of types , , and
  • 9. The general case for regular elements
  • 10. Theorem 1.3 for groups of types and and regular elements
  • 11. Proofs of the main theorems
  • 12. Some examples
  • Appendix. Tables