46 citations · 102 across the 9 of their papers we have counts for
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Deligne's category Rep(GL_δ) and representations of general linear supergroups
Jonathan Comes, Benjamin Wilson
We classify indecomposable summands of mixed tensor powers of the natural representation for the general linear supergroup up to isomorphism. We also give a formula for the charact…
A Character Formula for the Category Õ
Benjamin J. Wilson
One may construct, for any function on the integers, an irreducible module of level zero for affine sl(2), using the values of the function as structure constants. The modules cons…
Representations of Truncated Current Lie Algebras
Benjamin J. Wilson
Let g denote a Lie algebra, and let T(g) denote the tensor product of g with a ring of truncated polynomials. The Lie algebra T(g) is called a truncated current Lie algebra. The hi…
Highest-Weight Theory for Truncated Current Lie Algebras
Benjamin J. Wilson
Let g denote a Lie algebra over a field of characteristic zero, and let T(g) denote the tensor product of g with a ring of truncated polynomials. The Lie algebra T(g) is called a t…
Imaginary highest-weight representation theory and symmetric functions
Benjamin J. Wilson
Affine Lie algebras admit non-classical highest-weight theories through alternative partitions of the root system. Although significant inroads have been made, much of the classica…