Hart, Sarah and Rowley, Peter (2023) Lengths of Involutions in Finite Coxeter Groups. Journal of Pure and Applied Algebra 227 (2), p. 107190. ISSN 0022-4049.
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Abstract
Let W be a finite Coxeter group and X a subset of W . The length polynomial L_W,X (t) is defined by L_W,X (t) = ∑ x∈X t^{l(x)}, where l is the length function on W. If X = {x ∈ W : x^2 = 1} then we call L_W,X(t) the involution length polynomial of W . In this article we derive expressions for the length polynomial where X is any conjugacy class of involutions, and the involution length polynomial, in any finite Coxeter group W . In particular, these results correct errors in the literature for the involution length polynomials of Coxeter groups of type Bn and Dn.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Sarah Hart |
| Date Deposited: | 05 Oct 2022 12:58 |
| Last Modified: | 09 Aug 2023 12:53 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/49281 |
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