Abstracts
for the Seminar

Fall 2017

**Speaker: **Mark Skandera, Lehigh University

**Title: **Evaluations of Hecke algebra traces at the wiring diagram basis

**Time:** 2:30 PM, Monday, October 16, 2017

**Place:** Malott 206

**Abstract:**
The (type A) Hecke algebra $H_n(q)$ is a certain module over $\mathbb Z[q^{1/2},q^{-1/2}]$ which is a deformation
of the group algebra of the symmetric group. The $\mathbb Z[q^{1/2},q^{-1/2}]$-module of its trace functions
has rank equal to the number of integer partitions of $n$, and has bases which are natural deformations of
those of the symmetric group algebra trace module. While no known closed formulas give the evaluation of these traces at
the natural basis elements of $H_n(q)$, or at the Kazhdan-Lusztig basis, we present a combinatorial formulas for the evaluation of induced sign character traces at a certain wiring diagram basis of $H_n(q)$.

Back to main seminar page.