@article{ASENS_2002_4_35_3_437_0, author = {Gyoja, Akihiko}, title = {Certain unipotent representations of finite {Chevalley} groups and {Picard-Lefschetz} monodromy}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {437--444}, publisher = {Elsevier}, volume = {Ser. 4, 35}, number = {3}, year = {2002}, doi = {10.1016/s0012-9593(02)01096-0}, zbl = {1021.20036}, language = {en}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(02)01096-0/} }
TY - JOUR AU - Gyoja, Akihiko TI - Certain unipotent representations of finite Chevalley groups and Picard-Lefschetz monodromy JO - Annales scientifiques de l'École Normale Supérieure PY - 2002 SP - 437 EP - 444 VL - 35 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(02)01096-0/ DO - 10.1016/s0012-9593(02)01096-0 LA - en ID - ASENS_2002_4_35_3_437_0 ER -
%0 Journal Article %A Gyoja, Akihiko %T Certain unipotent representations of finite Chevalley groups and Picard-Lefschetz monodromy %J Annales scientifiques de l'École Normale Supérieure %D 2002 %P 437-444 %V 35 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(02)01096-0/ %R 10.1016/s0012-9593(02)01096-0 %G en %F ASENS_2002_4_35_3_437_0
Gyoja, Akihiko. Certain unipotent representations of finite Chevalley groups and Picard-Lefschetz monodromy. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 35 (2002) no. 3, pp. 437-444. doi : 10.1016/s0012-9593(02)01096-0. http://www.numdam.org/articles/10.1016/s0012-9593(02)01096-0/
[1] The analytic continuation of generalized functions with respect to a parameter, Funct. Anal. Appl. 6 (1972) 273-285. | MR | Zbl
,[2] Le formalisme des cycles évanescents, in: Lecture Notes in Math., 240, Springer, 1973, pp. 82-115. | Zbl
,[3] On the existence of a W-graph for an irreducible representation of a Coxeter group, J. Algebra 86 (1984) 422-438. | MR | Zbl
,[4] Theory of prehomogeneous vector spaces without regularity condition, Publ. RIMS 27 (1991) 861-922. | MR | Zbl
,[5] Highest weight modules and b-functions of semi-invariants, Publ. RIMS 30 (1994) 353-400, Kyoto University. | MR | Zbl
,[6] Modular representation theory over a ring of higher dimension with applications to Hecke algebras, J. Algebra 174 (1995) 553-572. | MR | Zbl
,[7] A theorem of Chevalley type for prehomogeneous vector spaces, J. Math. Soc. Japan 48 (1996) 161-167. | MR | Zbl
,[8] Gyoja A., Lectures on prehomogeneous vector spaces, Lectures delivered at Nagoya University from October 20, 1998 until January 28, 1999.
[9] b-Functions and holonomic systems (Rationality of roots of b-functions), Invent. Math. 38 (1976) 33-53. | MR | Zbl
,[10] Vanishing cycle sheaves and holonomic sytems of differential equations, in: Lecture Notes in Math., 1016, 1983, pp. 134-142. | MR | Zbl
,[11] On a theorem of Benson and Curtis, J. Algebra 71 (1981). | MR | Zbl
,[12] Characters of reductive groups over a finite field, Ann. Math. Studies 107 (1984), Princeton University Press. | MR | Zbl
,[13] Intersection cohomology complexes on a reductive group, Invent. Math. 75 (1984) 205-272. | MR | Zbl
,[14] Introduction to character sheaves, Proc. Symp. Pure Math. 47 (1987) 165-179. | MR | Zbl
,[15] Polynôme de Bernstein-Sato et cohomologie évanescente, Astérisque 101-102-103 (1983) 243-267. | Numdam | MR | Zbl
,[16] Conjugacy classes, in: Lecture Notes in Math., 131, Springer, 1970, pp. 167-266. | MR | Zbl
, ,[17] Highest weight modules associated with classical irreducible regular prehomogeneous vector spaces of commutative parabolic type, Osaka J. Math. 28 (1991) 323-346. | MR | Zbl
,[18] Irreducible projective modules of the Hecke algebras of a finite Coxeter group, J. Algebra 27 (1989) 373-384. | MR | Zbl
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