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 / Caselli, Fabrizio; Sentinelli, Paolo. - In: JOURNAL OF ALGEBRAIC COMBINATORICS. - ISSN 0925-9899. - STAMPA. - 45:3(2017), pp. 687-700. [10.1007/s10801-016-0721-7]
The generalized lifting property of Bruhat intervals
CASELLI, FABRIZIO;SENTINELLI, PAOLO
2017
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.File in questo prodotto:
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