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Results tagged with coxeter-groups
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user 130860
A Coxeter group is a group defined by a presentation by involutions $r_i$ with relators $(r_ir_j)^{m_{ij}}=1$ for certain family $(m_{ij})$ of integers greater than 1.
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Reference Request: Length of a reflection in a Coxeter group can be achieved by symmetric word
In a given coxeter group $(W,S)$, a reflection is an element of $W$ that can be written with a symmetric word in the generators $S$.
In multiple sources, I found the following formula:
$$
\mathrm …
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