Hart, Sarah and Sbeiti Clarke, Amal (2020) Commuting Involution Graphs in classical affine Weyl Groups. Communications in Algebra 48 (7), pp. 2941-2957. ISSN 0092-7872.
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Abstract
In this paper we investigate commuting involution graphs in classical affine Weyl groups. Let $W$ be a classical Weyl group of rank $n$, with $\widetilde W$ its corresponding affine Weyl group. Our main result is that if $X$ is a conjugacy class of involutions in $\widetilde W$, then the commuting involution graph $\C(\widetilde W, X)$ is either disconnected or has diameter at most $n+2$. This bound is known to hold for types $\widetilde A_n$ and $\widetilde C_n$, so the main work of this paper is to prove the theorem for types $\widetilde B_n$ and $\widetilde D_n$.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Sarah Hart |
| Date Deposited: | 04 Feb 2020 09:37 |
| Last Modified: | 09 Aug 2023 12:47 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/30779 |
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