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.
Reflections and quotients in Coxeter groups
P. Sentinelli
2025-01-01
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.File in questo prodotto:
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Reflections and quotients in Coxeter groups.pdf
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