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115875 |
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|a Lusztig, George
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Lusztig, George
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|a Nonsplit Hecke algebras and perverse sheaves
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|b Springer-Verlag,
|c 2018-05-24T19:37:59Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/115875
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|a Let H be a Hecke algebra arising as an endomorphism algebra of the representation of a Chevalley group G over induced by a unipotent cuspidal representation of a Levi quotient L of a parabolic subgroup. We assume that L is not a torus. In this paper we outline a geometric interpretation of the coefficients of the canonical basis of H in terms of perverse sheaves. We illustrate this in detail in the case where the Weyl group of G is ot type and that of L is of type. Keywords: Hecke algebra; Parabolic character sheaf; Canonical basis
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