The main purpose of this paper is to prove that the Bruhat-Chevalley ordering of the
symmetric group when restricted to the fixed-point-free involutions forms an EL-shellable …

This paper investigates the rational Betti numbers of real toric manifolds associated with
chordal nestohedra. We consider the poset topology of a specific poset induced from a …

Denote by ω n the convex polytope of n× n doubly substochastic matrices and by Ω n the
convex polytope of n× n doubly stochastic matrices. We generalize the Bruhat order for …

The order complex of inclusion poset $ PF_n $ of Borel orbit closures in skew-symmetric
matrices is investigated. It is shown that $ PF_n $ is an EL-shellable poset, and furthermore …

We define combinatorially a partial order on the set partitions and show that it is equivalent
to the Bruhat-Chevalley-Renner order on the upper triangular matrices. By considering …

In this manuscript we study inclusion posets of Borel orbit closures on (symmetric) matrices.
In particular, we show that the Bruhat poset of partial involutions is a lexicographically …

In this paper, we show that the Bruhat order on the sects of the symmetric space of type $ AIII
$ are lexicographically shellable. Our proof proceeds from a description of these posets as …

Spherical varieties, a class of algebraic varieties characterized by a reductive group action
and a dense orbit under a Borel subgroup, play a pivotal role in algebraic geometry …

The algebraic monoid structure of an incidence algebra is investigated. We show that the
multiplicative structure alone determines the algebra automorphisms of the incidence …

The purpose of this paper is twofold. First is to prove that the Bruhat-Chevalley ordering
restricted to fixed-point-free involutions is a lexicographically shellable poset. Second is to …