3 citations · 9 across the 9 of their papers we have counts for
15 papers
An abelian envelope without the quotient property
Johannes Flake, Jonathan Gruber, Thorsten Heidersdorf
We show that the universal rigid monoidal category on one object has an abelian envelope. Since it was proven by Coulembier-Etingof-Ostrik-Pauwels (2023) that this category cannot…
Semisimplifications and representations of the General Linear Supergroup
Thorsten Heidersdorf, Rainer Weissauer
We study the semisimplification of the full karoubian subcategory generated by the irreducible finite dimensional representations of the algebraic supergroup over an alge…
Deligne-Knop tensor categories and functoriality
Inna Entova-Aizenbud, Thorsten Heidersdorf
A general construction of Knop creates a symmetric monoidal category from any regular category and a fixed degree function . A special…
Deligne categories and representations of the finite general linear group, part 1: universal property
Inna Entova-Aizenbud, Thorsten Heidersdorf
We study the Deligne interpolation categories for , first introduced by F. Knop. These categories interpolate the…
Gruson-Serganova character formulas and the Duflo-Serganova cohomology functor
Maria Gorelik, Thorsten Heidersdorf
We establish an explicit formula for the character of an irreducible finite-dimensional representation of . The formula is a finite sum with integer coefficient…
Generalized negligible morphisms and their tensor ideals
Thorsten Heidersdorf, Hans Wenzl
We introduce a generalization of the notion of a negligible morphism and study the associated tensor ideals and thick ideals. These ideals are defined by considering deformations o…
Monoidal abelian envelopes and a conjecture of Benson--Etingof
Kevin Coulembier, Inna Entova-Aizenbud, Thorsten Heidersdorf
We give several criteria to decide whether a given tensor category is the abelian envelope of a fixed symmetric monoidal category. As a main result we prove that the category of fi…
Homotopy quotients and comodules of supercommutative Hopf algebras
Thorsten Heidersdorf, Rainer Weissauer
We study induced model structures on Frobenius categories. In particular we consider the case where is the category of comodules of a supercommutative Hopf algebra $A…
On classical tensor categories attached to the irreducible representations of the General Linear Supergroups
Thorsten Heidersdorf, Rainer Weissauer
We study the quotient of by the tensor ideal of negligible morphisms. If we consider the full subcategory of of ind…
Deligne categories and representations of the infinite symmetric group
Daniel Barter, Inna Entova-Aizenbud, Thorsten Heidersdorf
We establish a connection between two settings of representation stability for the symmetric groups over . One is the symmetric monoidal category ${\rm Rep}(S_{\i…
On supergroups and their semisimplified representation categories
Thorsten Heidersdorf
The representation category of a supergroup scheme has a largest proper tensor ideal, the ideal of negligible morphisms. If we divide $\m…
Pieri type rules and tensor products
Th. Heidersdorf, R. Weissauer
We derive a closed formula for the tensor product of a family of mixed tensors using Deligne's interpolating category . We use this formula to compute the tensor produ…
Thick Ideals in Deligne's category
Jonathan Comes, Thorsten Heidersdorf
We describe indecomposable objects in Deligne's category and explain how to decompose their tensor products. We then classify…
Mixed Tensors of the General Linear Supergroup
Thorsten Heidersdorf
We describe the image of the canonical tensor functor from Deligne's interpolating category to attached to the standard representation. This implies…
Cohomological Tensor Functors on Representations of the General Linear Supergroup
Thorsten Heidersdorf, Rainer Weissauer
We define and study cohomological tensor functors from the category of finite-dimensional representations of the supergroup into for . In the…