Suprunenko D. The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic. - Providence: American Mathematical Society, 2009. - vi, 154 p. - (Memoirs of the American Mathematical Society; Vol.200, N 939). - Bibliogr.: p.151. - Ind.: p.153-154. - ISBN 978-0-8218-4368-7; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

1. Introduction ................................................. 1 2. Notation and preliminary facts .............................. 11 3. The general scheme of the proof of the main results ......... 38 4. p-large representations ..................................... 41 5. Regular unipotent elements for n = ps + 6, 0 < b < p ........ 54 6. A special case for G = Br(K) ................................ 66 7. The exceptional cases in Theorem 1.7 ........................ 74 8. Theorem 1.9 for regular unipotent elements and groups of types A, B, and С ........................................... 77 9. The general case for regular elements ....................... 81 10.Theorem 1.3 for groups of types Ar and Br and regular elements .................................................... 92 11.Proofs of the main theorems ................................. 93 12.Some examples .............................................. 116 Appendix. Tables .............................................. 119 Appendix. Bibliography ........................................ 151 Appendix. Index ............................................... 153