Year: 2026
Type: article
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.
Source: Journal of Lie Theory
DOI: 10.5802/jolt.1417
Authors: Maria Gorelik, Vladimir Hinich, Vera Serganova
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4387892077