William Q. Erickson

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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…

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

K-type multiplicities in degenerate principal series via Howe duality

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