William Q. Erickson

activity

20232026

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3 papers · 1 filter

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…

math.CO2024

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.CO2024

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 $GL (V)$ ,…