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5 papers · 2 filters
A general approach to Heisenberg categorification via wreath product algebras
Daniele Rosso, Alistair Savage
We associate a monoidal category , defined in terms of planar diagrams, to any graded Frobenius superalgebra . This category acts naturally on modules over the wr…
-algebras and direct integral decomposition for Lie supergroups
Karl-Hermann Neeb, Hadi Salmasian
For every finite dimensional Lie supergroup , we define a -algebra , and show that there exists a canonical bijective c…
The Capelli problem for and the spectrum of invariant differential operators
Siddhartha Sahi, Hadi Salmasian
The "Capelli problem" for the symmetric pairs , and is closely rel…
Weyl modules for Lie superalgebras
Lucas Calixto, Joel Lemay, Alistair Savage
We define global and local Weyl modules for Lie superalgebras of the form , where is an associative commutative unital -algebra and $\mathfr…
Minimal dimension of faithful representations for -groups
Mohammad Bardestani, Keivan Mallahi-Karai, Hadi Salmasian
For a group , we denote by , the smallest dimension of a faithful complex representation of . Let be a non-Archimedean local field with the ring of integ…