5 papers · 1 filter
Weight modules for quantum symmetric pair subalgebras
Catharina Stroppel, Liao Wang
We develop a theory of weights for a quantum analogue of the symmetric pair (gl4,gl2 x gl2) realised as a quantum symmetric pair subalgebra. Based on Letzter's triangular decomposi…
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…
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…
Faithful covers of Khovanov arc algebras
Chris Bowman, Maud De Visscher, Alice Dell'Arciprete +3
We show that the extended Khovanov algebra is an -faithful cover of the Khovanov arc algebra .
Quiver presentations and Schur--Weyl duality for Khovanov arc algebras
Chris Bowman, Maud De Visscher, Alice Dell'Arciprete +3
We provide an -quiver and relations presentation of the Khovanov arc algebras and prove a precise analogue of the Kleshchev--Martin conjecture in this setting.