Character sheaves on disconnected groups, VI
HTML articles powered by AMS MathViewer
- by G. Lusztig PDF
- Represent. Theory 8 (2004), 377-413 Request permission
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.References
- 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
- Pierre Deligne, La conjecture de Weil. II, Inst. Hautes Études Sci. Publ. Math. 52 (1980), 137–252 (French). MR 601520, DOI 10.1007/BF02684780
- George Lusztig, Character sheaves. I, Adv. in Math. 56 (1985), no. 3, 193–237. MR 792706, DOI 10.1016/0001-8708(85)90034-9
- G. Lusztig, Character sheaves on disconnected groups. I, Represent. Theory 7 (2003), 374–403. MR 2017063, DOI 10.1090/S1088-4165-03-00204-8 [L10]L10 G. Lusztig, Parabolic character sheaves, I, Moscow Math. J. 4 (2004), 153-179. [L11]L11 G. Lusztig, Letter to J.G.M. Mars, Nov. 23, 1985.
- G. Lusztig, Hecke algebras with unequal parameters, CRM Monograph Series, vol. 18, American Mathematical Society, Providence, RI, 2003. MR 1974442, DOI 10.1090/crmm/018
- 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]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.
Additional Information
- G. Lusztig
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 117100
- Email: gyuri@math.mit.edu
- 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
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Represent. Theory 8 (2004), 377-413
- MSC (2000): Primary 20G99
- DOI: https://doi.org/10.1090/S1088-4165-04-00252-3
- MathSciNet review: 2084488