6 citations · 9 across the 12 of their papers we have counts for
16 papers
From Unit Interval Orders to Totally Nonnegative Matrices: Permanental Inequalities and Bruhat-Increasing Bijections
Sihong Pan, Mark Skandera, Jiayuan Wang
Given an matrix and subsets of , let denote the -submatrix of . We prove that,…
On the Impossibility of Parabolic Factorization of certain Kazhdan-Lusztig Basis Elements
Tommy Parisi, Mark Skandera, Ben Spahiu +1
For w in the symmetric group S_n, let C_w be the corresponding modified, signless Kazhdan-Lusztig basis element of the type-A Hecke algebra H_n(q). An extension [Ann. Comb. 25, no.…
Permanental Inequalities and Unit Interval Orders
Sihong Pan, Mark Skandera, Jiayuan Wang
Given a square matrix, the permanent is a determinant-like function without signs. In this paper, we study inequalities involving permanents of certain submatrices. We first focus…
On Kazhdan--Lusztig basis elements having no reversal factorization
Tommy Parisi, Ben Spahiu, Mark Skandera +1
For in the symmetric group , let be the corresponding modified, signless Kazhdan--Lusztig basis element of the type- Hecke algebra . An extensi…
Hook immanantal inequalities for totally nonnegative matrices
Mark Skandera
Given a weakly decreasing positive integer sequence summing to , let denote the irreducible character of the symmetric group indexed by .…
A generalization of Deodhar's defect statistic for Iwahori--Hecke algebras of type
Gavin Hobbs, Tommy Parisi, Mark Skandera +1
Let be the Iwahori--Hecke algebra corresponding to any Coxeter group. Deodhar's defect statistic [Geom. Dedicata 36, (1990) pp.95--119] allows one to expand products of simple…