English

Character sheaves on disconnected groups, VIII

Representation Theory 2007-05-23 v1

Abstract

In this paper we continue the study of character sheaves on a reductive group G. To each subset of the set of simple reflections in the Weyl group we associate an algebra of the same kind as an Iwahori-Hecke algebra with unequal parameters in terms of parabolic character sheaves. We also prove a Mackey type formula for character sheaves. We define a duality operation for character sheaves. We also prove a quasi-rationality property for character sheaves.

Keywords

Cite

@article{arxiv.math/0509356,
  title  = {Character sheaves on disconnected groups, VIII},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:math/0509356},
  year   = {2007}
}

Comments

42 pages