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math.RT2025
Koszulity for semi-infinite highest weight categories
Thorsten Heidersdorf, Jonas Nehme, Catharina Stroppel
We show that any upper finite or essentially finite highest weight category where the standard objects have linear projective resolutions and the costandard objects have linear inj…
math.RT2025
The quantum lectrical Hopf algebra and categorification of Fock space
Jonas Nehme, Catharina Stroppel
In this article we introduce a generalization of the Khovanov--Lauda Rouquier algebras, the electric KLR algebras. These are superalgebras which connect to super Brauer algebras in…
math.RT2024
Khovanov algebras of type B and tensor powers of the natural -representation
Thorsten Heidersdorf, Jonas Nehme, Catharina Stroppel
We develop the theory of projective endofunctors for modules of Khovanov algebras of type B. In particular we compute the composition factors and the graded layers of the image…