Characters of Reductive Groups Over a Finite FieldPrinceton University Press, 21 juin 1984 - 384 pages This book presents a classification of all (complex) |
Table des matières
COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY | 3 |
LOCAL INTERSECTION COHOMOLOGY WITH TWISTED | 30 |
GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED | 58 |
REPRESENTATIONS OF WEYL GROUPS | 76 |
CELLS IN WEYL GROUPS | 134 |
AN INTEGRALITY THEOREM AND A DISJOINTNESS | 180 |
SOME EXCEPTIONAL GROUPS | 217 |
DECOMPOSITION OF INDUCED REPRESENTATIONS | 251 |
COMPLETION OF THE PROOF OF THEOREM 4 23 | 296 |
EIGENVALUES OF FROBENIUS | 313 |
ON THE STRUCTURE OF LEFT CELLS | 324 |
RELATIONS WITH CONJUGACY CLASSES | 342 |
CONCLUDING REMARKS | 351 |
APPENDIX | 358 |
| 377 | |
| 383 | |
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Expressions et termes fréquents
Assume automorphism bijection coefficient conjugacy classes containing Coxeter group cuspidal representation cyclic group denote disjoint E₁ equal equivalence exists F₂ family F following property Frobenius map function G-equivariant G₁ GF-modules group of type Hecke algebra hence HIT HIT HIT homomorphism identity imbedding Ind GF integer intersection cohomology involution irreducible components irreducible Q[W]-module irreducible representations isomorphism l(w₁ left cell lemma Levi subgroup line bundle locally constant longest element LR LR minimal length module multiplicities notations pairing polynomial proof PROPOSITION proved R(GF Rad(Y repre representations of GF resp restriction root satisfies semisimple sentation sheaf space special representation standard parabolic subgroup subset subspace symbol of rank Theorem 4.23 holds tion two-sided cell type Eg type F4 unipotent representations unique vector W-module W₁ Weyl group WL,n WL,n)ex Wz(s Z₁ zero ZL,n Ερ