Some power series involving involutions in Coxeter groups

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 Poincar´e series of W. (The case where W is finite has been known earlier.)

Bibliographic Details
Main Author: Lusztig, George (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: American Mathematical Society (AMS), 2016-10-28T19:15:29Z.
Subjects:
Online Access:Get fulltext
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100 1 0 |a Lusztig, George  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Lusztig, George  |e contributor 
245 0 0 |a Some power series involving involutions in Coxeter groups 
260 |b American Mathematical Society (AMS),   |c 2016-10-28T19:15:29Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/105145 
520 |a 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 Poincar´e series of W. (The case where W is finite has been known earlier.) 
520 |a National Science Foundation (U.S.) (Grant DMS-1303060) 
520 |a Simons Foundation 
546 |a en_US 
655 7 |a Article 
773 |t Representation Theory