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

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Suprunenko, I. D. (Irina D.), 1954-
Format: Électronique eBook
Langue:Inglés
Publié: Providence, R.I. : American Mathematical Society, ©2009.
Collection:Memoirs of the American Mathematical Society ; no. 939.
Sujets:
Linear algebraic groups.
Irreducible polynomials.
Representations of groups.
Groupes linéaires algébriques.
Polynômes irréductibles.
Représentations de groupes.
MATHEMATICS > Algebra > Intermediate.
Irreducible polynomials
Linear algebraic groups
Representations of groups
Accès en ligne:Texto completo
Table des matières:
  • 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.

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