Matsumoto theorem for skeleta
Abstract
We present a proof of a generalization of the theorem of H. Matsumoto on Coxeter groups. Our generalized version is applicable to “graphs admitting geometric realization”. The original version of the theorem for Coxeter groups is a special case when applied to the Cayley graph and the geometric representation of a Coxeter group. Our version of Matsumoto theorem is also applicable to skeleta , graphs that were defined in the recent paper [GHS24] on root Lie superalgebras.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Finite Group Theory Research
Publication details
- Journal / source
- Journal of Lie Theory
- Volume
- 36
- Issue
- 1
- Pages
- 31–41
- Publication date
- 17 June 2026
- Language
- EN