M. Skandera

activity

20052022

most citedBarrett-Johnson inequalities for totally nonnegative matrices

2 citations · 2 across the 2 of their papers we have counts for

collaborators

Showing math.COShow all

5 papers · 1 filter

math.CO2022★ 2 cited

Barrett-Johnson inequalities for totally nonnegative matrices

Mark Skandera, Daniel Soskin

Given a matrix $A$ , let $A_{I, J}$ denote the submatrix of $A$ determined by rows $I$ and columns $J$ . Fischer's Inequalities state that for each $n \times n$ Hermitian positive sem…

math.CO2020

Total nonnegativity and induced sign characters of the Hecke algebra

Adam Clearwater, Mark Skandera

Let $S_{[i, j]}$ be the subgroup of the symmetric group $S_{n}$ generated by adjacent transpositions $(i, i + 1), \dots, (j - 1, j)$ , assuming $1 \leq i < j \leq n$ . We…

math.CO2020

Generating functions for monomial characters of wreath products $Z / d Z ≀ S_{n}$

Mark Skandera

Let $Z / d Z ≀ S_{n}$ denote the wreath product of the cyclic group $Z / d Z$ with the symmetric group $S_{n}$ . We define generating fun…

math.CO2018

Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra

Ryan Kaliszewski, Justin Lambright, Mark Skandera

We combinatorially describe entries of the transition matrices which relate monomial bases of the zero-weight space of the quantum matrix bialgebra. This description leads to a com…

math.CO2005

A note on Bruhat order and double coset representatives

Christophe Hohlweg, Mark Skandera

Let $W$ be a finite coxeter group, let $W_{I}$ , $W_{J}$ be standard parabolic subgroups, let $u$ , $v$ be minimal double cosets representatives of double cosets in $W_{I} W / W_{J}$ and let…