Character sheaves on disconnected groups, VI
Author:
G. Lusztig
Journal:
Represent. Theory 8 (2004), 377-413
MSC (2000):
Primary 20G99
DOI:
https://doi.org/10.1090/S1088-4165-04-00252-3
Published electronically:
August 20, 2004
MathSciNet review:
2084488
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We define the character sheaves on a connected component of a reductive group and we show that the restriction functor takes a character sheaf to a direct sum of character sheaves.
- [BBD] A. A. Beĭlinson, J. Bernstein, and P. Deligne, Faisceaux pervers, Analysis and topology on singular spaces, I (Luminy, 1981) Astérisque, vol. 100, Soc. Math. France, Paris, 1982, pp. 5–171 (French). MR 751966
- [D] Pierre Deligne, La conjecture de Weil. II, Inst. Hautes Études Sci. Publ. Math. 52 (1980), 137–252 (French). MR 601520
- [L3]
George
Lusztig, Character sheaves. I, Adv. in Math.
56 (1985), no. 3, 193–237. MR
792706, https://doi.org/10.1016/0001-8708(85)90034-9
George Lusztig, Character sheaves. II, III, Adv. in Math. 57 (1985), no. 3, 226–265, 266–315. MR 806210, https://doi.org/10.1016/0001-8708(85)90064-7
George Lusztig, Character sheaves. IV, Adv. in Math. 59 (1986), no. 1, 1–63. MR 825086, https://doi.org/10.1016/0001-8708(86)90036-8 - [L9]
G.
Lusztig, Character sheaves on disconnected
groups. I, Represent. Theory 7 (2003), 374–403. MR
2017063, https://doi.org/10.1090/S1088-4165-03-00204-8
G. Lusztig, Character sheaves on disconnected groups. II, Represent. Theory 8 (2004), 72–124. MR 2048588, https://doi.org/10.1090/S1088-4165-04-00238-9
G. Lusztig, Character sheaves on disconnected groups. IV, Represent. Theory 8 (2004), 145–178. MR 2048590, https://doi.org/10.1090/S1088-4165-04-00240-7
G. Lusztig, Errata: “Character sheaves on disconnected groups. I” [Represent. Theory 7 (2003), 374–403; MR2017063], Represent. Theory 8 (2004), 179. MR 2058725, https://doi.org/10.1090/S1088-4165-04-00247-X - [L10] G. Lusztig, Parabolic character sheaves, I, Moscow Math. J. 4 (2004), 153-179.
- [L11] G. Lusztig, Letter to J.G.M. Mars, Nov. 23, 1985.
- [L12] G. Lusztig, Hecke algebras with unequal parameters, CRM Monograph Series, vol. 18, American Mathematical Society, Providence, RI, 2003. MR 1974442
- [MS] J. G. M. Mars and T. A. Springer, Character sheaves, Astérisque 173-174 (1989), 9, 111–198. Orbites unipotentes et représentations, III. MR 1021511
- [Y] T. Yokonuma, Sur la structure des anneaux de Hecke d'un groupe de Chevalley fini, C. R. Acad. Sci. Paris Ser. A-B 264 (1967), A344-A347.
Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 20G99
Retrieve articles in all journals with MSC (2000): 20G99
Additional Information
G. Lusztig
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email:
gyuri@math.mit.edu
DOI:
https://doi.org/10.1090/S1088-4165-04-00252-3
Received by editor(s):
June 7, 2004
Published electronically:
August 20, 2004
Additional Notes:
Supported in part by the National Science Foundation. The author thanks the Institut des Hautes Études Scientifiques for its hospitality
Article copyright:
© Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
