Bruhat order on classical Weyl groups: minimal chains and covering relation

Abstract

In this paper we study some aspects of the Bruhat order on classical Weyl groups, obtaining a direct combinatorial description of the minimal chains, that is chains with the lexicographically minimal labelling. Moreover, we find a combinatorial characterization of the covering relation in the hyperoctahedral group and in the even-signed permutation group… (More)
DOI: 10.1016/j.ejc.2004.03.006

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