Character sheaves on disconnected groups, V
Author:
G. Lusztig
Journal:
Represent. Theory 8 (2004), 346-376
MSC (2000):
Primary 20G99
DOI:
https://doi.org/10.1090/S1088-4165-04-00251-1
Published electronically:
August 18, 2004
MathSciNet review:
2077486
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We prove orthogonality formulas for the characteristic functions of certain complexes on a connected component of a reductive group.
- [B] Robert Bédard, On the Brauer liftings for modular representations, J. Algebra 93 (1985), no. 2, 332–353. MR 786758, https://doi.org/10.1016/0021-8693(85)90164-4
- [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
- [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
George Lusztig, Character sheaves. V, Adv. in Math. 61 (1986), no. 2, 103–155. MR 849848, https://doi.org/10.1016/0001-8708(86)90071-X
George Lusztig, Erratum: “Character sheaves. V”, Adv. in Math. 62 (1986), no. 3, 313–314. MR 866163, https://doi.org/10.1016/0001-8708(86)90105-2
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
George Lusztig, Character sheaves. V, Adv. in Math. 61 (1986), no. 2, 103–155. MR 849848, https://doi.org/10.1016/0001-8708(86)90071-X
George Lusztig, Erratum: “Character sheaves. V”, Adv. in Math. 62 (1986), no. 3, 313–314. MR 866163, https://doi.org/10.1016/0001-8708(86)90105-2
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
George Lusztig, Character sheaves. V, Adv. in Math. 61 (1986), no. 2, 103–155. MR 849848, https://doi.org/10.1016/0001-8708(86)90071-X
George Lusztig, Erratum: “Character sheaves. V”, Adv. in Math. 62 (1986), no. 3, 313–314. MR 866163, https://doi.org/10.1016/0001-8708(86)90105-2 - [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. III, Represent. Theory 8 (2004), 125–144. MR 2048589, https://doi.org/10.1090/S1088-4165-04-00239-0
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, 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. III, Represent. Theory 8 (2004), 125–144. MR 2048589, https://doi.org/10.1090/S1088-4165-04-00239-0
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, 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. III, Represent. Theory 8 (2004), 125–144. MR 2048589, https://doi.org/10.1090/S1088-4165-04-00239-0
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, 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. III, Represent. Theory 8 (2004), 125–144. MR 2048589, https://doi.org/10.1090/S1088-4165-04-00239-0
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 - [L10] G. Lusztig, Parabolic character sheaves,I, Moscow Math. J. 4 (2004), 153-179.
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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/S1088-4165-04-00251-1
Received by editor(s):
April 21, 2004
Published electronically:
August 18, 2004
Additional Notes:
Supported in part by the National Science Foundation
Article copyright:
© Copyright 2004
American Mathematical Society