The generalized lifting property of Bruhat intervlas

2016/03/15 by Fabrizio Caselli, Caselli, Fabrizio, Paolo Sentinelli +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1603.04621

openalex publication_date 2016/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In [E. Tsukerman and L. Williams, \em Bruhat Interval Polytopes, Advances in Mathematics, 285 (2015), 766-810] 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.

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