The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic / [electronic resource] I.D. Suprunenko.
Material type: TextSeries: Memoirs of the American Mathematical Society ; no. 939.Publication details: Providence, R.I. : American Mathematical Society, c2009Description: 1 online resource (vi, 154 p.)ISBN: 9781470405533 (online)Subject(s): Linear algebraic groups | Irreducible polynomials | Representations of groupsAdditional physical formats: minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic /DDC classification: 512/.55 LOC classification: QA179 | .S87 2009Online resources: Contents | ContentsCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK13392 |
"Volume 200, number 939 (fourth of 6 numbers)."
Includes bibliographical references (p. 151-152) and index.
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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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