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Some power series involving involutions in Coxeter groups

Author: G. Lusztig
Journal: Represent. Theory 19 (2015), 281-289
MSC (2010): Primary 20G99
Published electronically: November 4, 2015
MathSciNet review: 3418645
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $W$ be a Coxeter group. We show that a certain power series involving a sum over all involutions in $W$ can be expressed in terms of the Poincaré series of $W$. (The case where $W$ is finite has been known earlier.)

References [Enhancements On Off] (What's this?)

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  • George Lusztig and David A. Vogan Jr., Hecke algebras and involutions in Weyl groups, Bull. Inst. Math. Acad. Sin. (N.S.) 7 (2012), no. 3, 323–354. MR 3051317
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Additional Information

G. Lusztig
Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139
MR Author ID: 117100

Received by editor(s): June 15, 2015
Received by editor(s) in revised form: October 17, 2015
Published electronically: November 4, 2015
Additional Notes: Supported in part by National Science Foundation grant DMS-1303060 and by a Simons Fellowship.
Article copyright: © Copyright 2015 American Mathematical Society