4 papers
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…
On interpolation categories for the hyperoctahedral group
Thorsten Heidersdorf, George Tyriard
Two different types of Deligne categories have been defined to interpolate the finite dimensional complex representations of the hyperoctahedral group. The first one, initially def…
Semisimplicity of the functor for the orthosymplectic Lie superalgebra
Maria Gorelik, Thorsten Heidersdorf
We prove that the Duflo-Serganova functor attached to an odd nilpotent element of is semisimple, i.e. sends a semisimple representation of $\m…