Abstract
Let W be a finite Coxeter group. It is well known that the number of involutions in W is equal to the sum of the degrees of the irreducible characters of W. Following a suggestion of Lusztig, we show that this equality is compatible with the decomposition of W into Kazhdan–Lusztig cells. The proof uses a generalisation of the Frobenius–Schur indicator to symmetric algebras, which may be of independent interest.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
