Involutions in Weyl groups and nil-Hecke algebras
by George Lusztig   David A., Jr. Vogan  

Vol. 17 No. 4 (2022) P.377~P.382

DOI:	https://doi.org/10.21915/BIMAS.2022401
	10.21915/BIMAS.2022401

ABSTRACT

In a previous article we have defined an action of the Iwahori-Hecke algebra of a Coxeter group $W$ on a free module with basis indexed by the involutions in $W$. In this paper we show that the specialization of this action at the parameter 0 has a simple description.

KEYWORDS
Weyl group, nil-Hecke algebra, involution

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20G99

MILESTONES

Received: 2022-07-07
Revised :
Accepted:

Download Full Content