Remarks on computing irreducible characters

Lusztig, G.

doi:10.1090/S0894-0347-1992-1157292-7

Remarks on computing irreducible characters
HTML articles powered by AMS MathViewer

by G. Lusztig PDF

J. Amer. Math. Soc. 5 (1992), 971-986 Request permission

References

Teruaki Asai, The unipotent class functions on the symplectic groups and the odd orthogonal groups over finite fields, Comm. Algebra 12 (1984), no. 5-6, 617–645. MR 735138, DOI 10.1080/00927878408823018
W. M. Beynon and N. Spaltenstein, Green functions of finite Chevalley groups of type $E_{n}$ $(n=6,\,7,\,8)$, J. Algebra 88 (1984), no. 2, 584–614. MR 747534, DOI 10.1016/0021-8693(84)90084-X
P. Deligne and G. Lusztig, Representations of reductive groups over finite fields, Ann. of Math. (2) 103 (1976), no. 1, 103–161. MR 393266, DOI 10.2307/1971021
N. Kawanaka, Generalized Gel′fand-Graev representations of exceptional simple algebraic groups over a finite field. I, Invent. Math. 84 (1986), no. 3, 575–616. MR 837529, DOI 10.1007/BF01388748
Noriaki Kawanaka, Shintani lifting and Gel′fand-Graev representations, The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986) Proc. Sympos. Pure Math., vol. 47, Amer. Math. Soc., Providence, RI, 1987, pp. 147–163. MR 933357
G. Lusztig, On the finiteness of the number of unipotent classes, Invent. Math. 34 (1976), no. 3, 201–213. MR 419635, DOI 10.1007/BF01403067
G. Lusztig, A class of irreducible representations of a Weyl group, Nederl. Akad. Wetensch. Indag. Math. 41 (1979), no. 3, 323–335. MR 546372
George Lusztig, Characters of reductive groups over a finite field, Annals of Mathematics Studies, vol. 107, Princeton University Press, Princeton, NJ, 1984. MR 742472, DOI 10.1515/9781400881772
G. Lusztig, Intersection cohomology complexes on a reductive group, Invent. Math. 75 (1984), no. 2, 205–272. MR 732546, DOI 10.1007/BF01388564
George Lusztig, Character sheaves. II, III, Adv. in Math. 57 (1985), no. 3, 226–265, 266–315. MR 806210, DOI 10.1016/0001-8708(85)90064-7
George Lusztig, On the character values of finite Chevalley groups at unipotent elements, J. Algebra 104 (1986), no. 1, 146–194. MR 865898, DOI 10.1016/0021-8693(86)90245-0
G. Lusztig, On the representations of reductive groups with disconnected centre, Astérisque 168 (1988), 10, 157–166. Orbites unipotentes et représentations, I. MR 1021495
George Lusztig, Green functions and character sheaves, Ann. of Math. (2) 131 (1990), no. 2, 355–408. MR 1043271, DOI 10.2307/1971496

A unipotent support for irreducible representations

T. Shoji, On the Green polynomials of classical groups, Invent. Math. 74 (1983), no. 2, 239–267. MR 723216, DOI 10.1007/BF01394315

Some generalization of Asai’s result for classical groups