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arXiv · 2405.10985

Reflections and quotients in Coxeter groups

Paolo Sentinelli
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Abstract

We present a formula relating the set of left descents of an element of a Coxeter group with the sets of left descents of its projections on maximal quotients indexed by simple right descents. This formula is an instance of a general result involving quotients and descents.

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Paolo Sentinelli. 2024-05-15. Reflections and quotients in Coxeter groups. https://arxiv.org/abs/2405.10985

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