William Q. Erickson

collaborators

3 papers

math.RT2025

Unitarity of highest weight Harish-Chandra modules and smoothness of Schubert varieties

Zhanqiang Bai, William Q. Erickson, Markus Hunziker +1

Let $G_{R}$ be a Lie group of Hermitian type, and $L (λ)$ a highest weight Harish-Chandra module of $G_{R}$ with highest weight $λ$ . In this article, we exhibit a…

math.RT2025

$K$ -type multiplicities in degenerate principal series via Howe duality

Mark Colarusso, William Q. Erickson, Andrew Frohmader +1

Let $K$ be one of the complex classical groups $O_{k}$ , $GL_{k}$ , or $Sp_{2 k}$ . Let $M \subseteq K$ be the block diagonal embedding ${\rm O}_{k_1} \times \cdots \time…

math.CO2024

Robinson-Schensted shapes arising from cycle decompositions

Martha Du Preez, William Q. Erickson, Jonathan Feigert +5

In the symmetric group $S_{n}$ , each element $σ$ has an associated cycle type $α$ , a partition of $n$ that identifies the conjugacy class of $σ$ . The Robinson-Schensted (RS) correspo…

Unitarity of highest weight Harish-Chandra modules and smoothness of Schubert varieties

K-type multiplicities in degenerate principal series via Howe duality

Robinson-Schensted shapes arising from cycle decompositions

$K$ -type multiplicities in degenerate principal series via Howe duality