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.
Caselli, F., Sentinelli, P. (2017). The generalized lifting property of Bruhat intervals. JOURNAL OF ALGEBRAIC COMBINATORICS, 45(3), 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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