S. Fishel

activity

20012025

most citedEnumerations relating braid and commutation classes

14 citations · 20 across the 12 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019

A survey of the Shi arrangement

Susanna Fishel

In 1983, Lusztig defined a map $σ$ from affine permutations of $n$ to partitions of $n$ . He conjectured that for any partition $λ$ of $n$ , $σ^{- 1} (λ)$ is a two-sided cell. Shi, in…

math.CO2019

Hopf algebra structure of symmetric and quasisymmetric functions in superspace

Susanna Fishel, Luc Lapointe, Maria Elena Pinto

We show that the ring of symmetric functions in superspace is a cocommutative and self-dual Hopf algebra. We provide formulas for the action of the coproduct and the antipode on va…

math.CO2019

Erdős-Ko-Rado theorems on the weak Bruhat lattice}

Susanna Fishel, Glenn Hurlbert, Vikram Kamat +1

Let $L = (X, ⪯)$ be a lattice. For $P \subseteq X$ we say that $P$ is $t$ -{\it intersecting} if $rank (x \land y) \geq t$ for all $x, y \in P$ . Th…