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5 papers · 2 filters
Classification of irreducible quasifinite modules over map Virasoro algebras
Alistair Savage
We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir \otimes A, where Vir is the Virasoro algebra and A is a Noetherian commutative…
A survey of Heisenberg categorification via graphical calculus
Anthony Licata, Alistair Savage
In this expository paper we present an overview of various graphical categorifications of the Heisenberg algebra and its Fock space representation. We begin with a discussion of "w…
Local Weyl modules for equivariant map algebras with free abelian group actions
Ghislain Fourier, Tanusree Khandai, Deniz Kus +1
Suppose a finite group acts on a scheme X and a finite-dimensional Lie algebra g. The associated equivariant map algebra is the Lie algebra of equivariant regular maps from X to g.…
Extensions and block decompositions for finite-dimensional representations of equivariant map algebras
Erhard Neher, Alistair Savage
Suppose a finite group acts on a scheme and a finite-dimensional Lie algebra . The associated equivariant map algebra is the Lie algebra of equivariant regular ma…
Hecke algebras, finite general linear groups, and Heisenberg categorification
Anthony Licata, Alistair Savage
We define a category of planar diagrams whose Grothendieck group contains an integral version of the infinite rank Heisenberg algebra, thus yielding a categorification of this alge…