Chris Hone

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3 papers · 1 filter

math.RT2026

Torsion primes for spaces of commuting elements in Lie groups

Simon Gritschacher, Chris Hone

Let $G$ be a complex reductive group and $C_{m} (G)_{1}$ the identity component of the space of $m$ -tuples of commuting elements in $G$ . We prove that for every $m \geq 2$ , the integral…

math.RT2026

The geometry of tilting composition series via Richardson varieties

Joseph Baine, Chris Hone

We prove the (graded) Jordan--HÃ¶lder multiplicities of (mixed) tilting sheaves on flag varieties admit a geometric interpretation as the hypercohomology of certain sheaves on Rich…

math.RT2025

Semisimplifying categorical Heisenberg actions and periodic equivalences

Chris Hone, Finn Klein, Bregje Pauwels +3

We systematically apply semisimplification functors in modular representation theory. Motivated by the Duflo--Serganova functor in Lie superalgebras, we construct various functors…