Asymptotic Hecke algebras and involutions

Abstract

In a previous paper the author and D. Vogan defined and studied a Hecke algebra module structure on a vector space spanned by the involutions in a Weyl group. In this paper this study is continued by relating it to the asymptotic Hecke algebra.

arXiv comment13 pages

References in corpus (2)

• Hecke algebras and involutions in Weyl groups
• A bar operator for involutions in a Coxeter group

Cited by in corpus (4)

• Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the universal case
• On involutions in Weyl groups
• On involutions in symmetric groups and a conjecture of Lusztig
• Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the finite case