5 papers · 2 filters
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.
Geometric categorifications of Verma modules: Grassmannian Quiver Hecke algebras
Ruslan Maksimau, Catharina Stroppel
Naisse and Vaz defined an extension of KLR algebras to categorify Verma modules. We realise these algebras geometrically as convolution algebras in Borel-Moore homology. For this w…
Diagrammatics for the smallest quantum coideal and Jones--Wenzl projectors
Catharina Stroppel, Zbigniew Wojciechowski
We describe algebraically, diagrammatically and in terms of weight vectors, the restriction of tensor powers of the standard representation of quantum to a coidea…
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…