M. Larsen

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math.RT2025

Tensor Power Asymptotics for Linearly Reductive Groups

Michael J. Larsen

Given a finite-dimensional faithful representation $V$ of a linearly reductive group $G$ over a field $K = K ˉ$ , we consider the growth of the number of irreducible factors of $V^…

math.RT2024

Sharp character bounds for symmetric groups in terms of partition length

Michael Larsen

Let $S_{n}$ denote a symmetric group, $I ¨ $ an irreducible character of $S_{n}$ , and $g \in S_{n}$ an element which decomposes into $k$ disjoint cycles, where $1$ -cycles are included. Then…

math.RT2024

Bounds for $SL_{2}$ -indecomposables in tensor powers of the natural representation in characteristic $2$

Michael J. Larsen

Let $K$ be an algebraically closed field of characteristic $2$ , $G$ be the algebraic group $SL_{2}$ over $K$ , and $V$ be the natural representation of $G$ . Let $b_{k}^{G, V}$ d…

Tensor Power Asymptotics for Linearly Reductive Groups

Sharp character bounds for symmetric groups in terms of partition length

Bounds for SL2​-indecomposables in tensor powers of the natural representation in characteristic 2

Bounds for $SL_{2}$ -indecomposables in tensor powers of the natural representation in characteristic $2$