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6 papers · 2 filters
Quantum Frobenius Heisenberg categorification
Jonathan Brundan, Alistair Savage, Ben Webster
We associate a diagrammatic monoidal category , which we call the quantum Frobenius Heisenberg category, to a symmetric Frobenius superalgebra …
Restricting Supercuspidal Representations via a Restriction of Data
Adèle Bourgeois
Let be a non-archimedean local field of residual characteristic . Let be a reductive group defined over which splits over a tamely ramified extension and se…
Frobenius nilHecke algebras
Alistair Savage, John Stuart
To any Frobenius superalgebra we associate towers of Frobenius nilCoxeter algebras and Frobenius nilHecke algebras. These act naturally, via Frobenius divided difference operat…
Group partition categories
Samuel Nyobe Likeng, Alistair Savage
To every group we associate a linear monoidal category that we call a group partition category. We give explicit bases for the morphism spaces and a…
Frobenius W-algebras and traces of Frobenius Heisenberg categories
Michael Reeks, Alistair Savage
To each symmetric graded Frobenius superalgebra we associate a W-algebra. We then define a linear isomorphism between the trace of the Frobenius Heisenberg category and a central r…
Foundations of Frobenius Heisenberg categories
Jonathan Brundan, Alistair Savage, Ben Webster
We describe bases for the morphism spaces of the Frobenius Heisenberg categories associated to a symmetric graded Frobenius algebra, proving several open conjectures. Our proof use…