Alexander Heaton

activity

20182026

most citedLogarithmic Voronoi cells

11 citations · 22 across the 12 of their papers we have counts for

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4 papers · 1 filter

math.RT2024

Stable Graded Multiplicities for Harmonics on a Cyclic Quiver

Andrew Frohmader, Alexander Heaton

We consider Vinberg $θ$ -groups associated to a cyclic quiver on $k$ nodes. Let $K$ be the product of the general linear groups associated to each node. Then $K$ acts naturally on $…

math.RT2020

Hilbert series of typical representations for Lie superalgebras

Alexander Heaton, Songpon Sriwongsa

Let g be a basic classical Lie superalgebra over C. In the case of a typical weight whose every nonnegative integer multiple is also typical, we compute a closed form for the Hilbe…

math.RT2018

Branching from the General Linear Group to the Symmetric Group and the Principal Embedding

Alexander Heaton, Songpon Sriwongsa, Jeb F. Willenbring

Let S be a principally embedded sl_2 subalgebra in sl_n for n > 2. A special case of results of the third author and Gregg Zuckerman implies that there exists a positive integer b(…

math.RT2018

Graded multiplicity in harmonic polynomials from the Vinberg setting

Alexander Heaton

We consider Vinberg $θ$ -groups associated to a cyclic quiver on $r$ nodes. Let $K$ be the product of general linear groups associated to the nodes, acting naturally on $V = \oplus…