4 papers
Kleshchev multipartitions, affine MirkoviÄ-Vilonen polytopes, and representations of KLR algebras in type
Samantha Allen, Jack Isaac, Corinne Moscariello +3
We construct explicit isomorphisms between three models for the crystal in type : affine MirkoviÄ--Vilonen polytopes, Kleshchev multipartitions, and a…
The orientifold Temperley--Lieb algebra
Chris Bowman, Zajj Daugherty, Maud De Visscher +2
We construct gradings on the simple modules of 2-boundary Temperley--Lieb algebras and symplectic blob algebras by realising the latter algebras as quotients of Varagnolo--Vasserot…
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.