Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107Princeton University Press, 2 mars 2016 - 408 pages This book presents a classification of all (complex) |
Table des matières
1 COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY ... | 3 |
2 LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES Xw | 30 |
3 GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY Xw ... | 58 |
4 REPRESENTATIONS OF WEYL GROUPS | 76 |
5 CELLS IN WEYL GROUPS | 134 |
6 AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM | 180 |
7 SOME EXCEPTIONAL GROUPS | 217 |
8 DECOMPOSITION OF INDUCED REPRESENTATIONS | 251 |
11 EIGENVALUES OF FROBENIUS | 313 |
12 ON THE STRUCTURE OF LEFT CELLS | 324 |
13 RELATIONS WITH CONJUGACY CLASSES | 342 |
14 CONCLUDING REMARKS | 351 |
APPENDIX | 358 |
REFERENCES | 377 |
| 382 | |
| 383 | |
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Expressions et termes fréquents
action acts algebra appears apply associate Assume assumption automorphism basis bijection Chapter character coefficient combination completes component condition connected consider consists constant containing corresponding Coxeter defined definition denote describe element equal equivalence exists extension F-stable fact factors finite fixed follows formula function given gives hence holds homomorphism identify identity imbedding implies integer irreducible representations isomorphism known left cell lemma length linear module Moreover multiplicities natural notations Note pairing parabolic subgroup particular proof PROPOSITION proved rank reduced reflection replaced representations of GF resp respect restriction root rows satisfies simple space standard statement structure subgroup subset symbol Theorem tion trivial unipotent representations unique vector Weyl group write zero