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Showing 2023 · math.RTShow all
3 papers · 2 filters
math.RT2023
Graded triangular bases
Jonathan Brundan
This article develops a practical technique for studying representations of -linear categories arising in the categorification of quantum groups. We work in terms of locally…
math.RT2023★ 4 cited
Decomposition numbers for abelian defect RoCK blocks of double covers of symmetric groups
Matthew Fayers, Alexander Kleshchev, Lucia Morotti
We calculate the (super)decomposition matrix for a RoCK block of a double cover of the symmetric group with abelian defect, verifying a conjecture of the first author. To do this,…
math.RT2023★ 6 cited
Growth rates of the number of indecomposable summands in tensor powers
Kevin Coulembier, Victor Ostrik, Daniel Tubbenhauer
In this paper we study the asymptotic behavior of the number of summands in tensor products of finite dimensional representations of affine (semi)group (super)schemes and related o…