In Tsukerman and Williams (Adv Math 285: 766–810, 2015), it is shown that every Bruhat interval of the symmetric group satisfies the so-called generalized lifting property. In this paper, we show that a Coxeter group satisfies this property if and only if it is finite and simply-laced.

The generalized lifting property of Bruhat intervals

Sentinelli P.
2017-01-01

Abstract

In Tsukerman and Williams (Adv Math 285: 766–810, 2015), it is shown that every Bruhat interval of the symmetric group satisfies the so-called generalized lifting property. In this paper, we show that a Coxeter group satisfies this property if and only if it is finite and simply-laced.
2017
Bruhat intervals
Coxeter groups
Lifting property
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1190463
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