Markus Hunziker

activity

20242026

collaborators

6 papers

math.CO2026

Chaotic and periodic behavior of jeu de taquin on infinite Young tableaux

Daniel Herden, Markus Hunziker, Jonathan Meddaugh +9

Young tableaux are fundamental objects in algebraic combinatorics and representation theory, with operations such as promotion and jeu de taquin playing a central role in their str…

math.CO2026

A combinatorial interpretation of the Bernstein degree of unitary highest weight modules

William Q. Erickson, Markus Hunziker

The Bernstein degree ( $Deg$ ) is a fundamental invariant of admissible representations of a real reductive Lie group $G_{R}$ . Our main result concerns the cl…

math.CO2026

Stanley decompositions of modules of covariants

William Q. Erickson, Markus Hunziker

Let $H$ be a complex reductive group, with finite-dimensional representations $W$ and $U$ . The module of covariants for $W$ of type $U$ is the space of all $H$ -equivariant polynomi…

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 $L (I^»)$ a highest weight Harish-Chandra module of $G_{R}$ with highest weight $I^»$ . In this article, we exhibit…

math.CO2025

Tensor invariants for classical groups revisited

William Q. Erickson, Markus Hunziker

We reconsider an old problem, namely the dimension of the $G$ -invariant subspace in $V^{\otimes p} \otimes V^{*\otimes q}$ , where $G$ is one of the classical groups $GL (V)$ ,…

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 $I ¨ $ has an associated cycle type $I^\pm$ , a partition of $n$ that identifies the conjugacy class of $I ¨ $ . The Robinson-Schensted (RS) corre…