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4 papers · 2 filters
Affine wreath product algebras
Alistair Savage
We study the structure and representation theory of affine wreath product algebras and their cyclotomic quotients. These algebras, which appear naturally in Heisenberg categorifica…
Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification
Marco Mackaay, Alistair Savage
We associate a monoidal category to each dominant integral weight of or . These categories, defined in terms o…
Representations associated to small nilpotent orbits for complex Spin groups
Dan Barbasch, Wan-Yu Tsai
This paper provides a comparison between the -structure of unipotent representations and regular sections of bundles on nilpotent orbits for complex groups of type . Precisel…
An equivalence between truncations of categorified quantum groups and Heisenberg categories
Hoel Queffelec, Alistair Savage, Oded Yacobi
We introduce a simple diagrammatic 2-category that categorifies the image of the Fock space representation of the Heisenberg algebra and the basic representation of $…