## Character sheaves on disconnected groups, VIII

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**10**(2006), 314-352 Request permission

## Abstract:

In this paper we continue the study of character sheaves on a reductive group. 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.## References

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## Additional Information

**G. Lusztig**- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 117100
- Received by editor(s): November 9, 2006
- Received by editor(s) in revised form: January 21, 2006
- Published electronically: August 17, 2006
- Additional Notes: Supported in part by the National Science Foundation.
- © Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Represent. Theory
**10**(2006), 314-352 - MSC (2000): Primary 20G99
- DOI: https://doi.org/10.1090/S1088-4165-06-00314-1
- MathSciNet review: 2240704