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A bar operator for involutions in a Coxeter group
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In [LV] the authors defined a Hecke algebra action and a bar involution on a vector space spanned by the involutions in a Weyl group. In this paper we give a new definition of the Hecke algebra action and the bar operator which, unlike the one in [LV], is completely elementary (does not use geometry) and in particular it makes sense for an arbitrary Coxeter group.
Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Bulletin of the Institute of Mathematics Academia Sinica NS
Publisher
Institute of Mathematics, Academia Sinica
Citation
Lusztig, George. "A bar operator for involutions in a Coxeter group." Bulletin of the Institute of Mathematics Academia Sinica (New Series) 7.3 (September 2012), p. 355-404.
Version: Author's final manuscript
ISSN
0304-9825