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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: https://doi.org/10.1090/memo/0939
MathSciNet review: 2526956
MSC: Primary 20G05; Secondary 20G15
Table of Contents
Chapters
- 1. Introduction
- 2. Notation and preliminary facts
- 3. The general scheme of the proof of the main results
- 4. $p$-large representations
- 5. Regular unipotent elements for $n = p^s + b$, $0 < b < p$
- 6. A special case for $G = B_r(K)$
- 7. The exceptional cases in Theorem 1.7
- 8. Theorem 1.9 for regular unipotent elements and groups of types $A$, $B$, and $C$
- 9. The general case for regular elements
- 10. Theorem 1.3 for groups of types $A_r$ and $B_r$ and regular elements
- 11. Proofs of the main theorems
- 12. Some examples
- Appendix. Tables