Isotropic Meta Kazhdan-Lusztig Combinatorics II: Isomorphism to the generalised Khovanov arc algebra

Abstract

We construct an explicit isomorphism between the generalised Khovanov arc algebras of type D and the basic algebras of the anti-spherical Hecke category associated to the maximal parabolic subgroup W (An-1) of W (Dn). This isomorphism maps generators to generators, thereby equipping the arc algebras with an Ext-quiver and relations presentation.

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