An explicit isomorphism is constructed between generalised Khovanov arc algebras of type D and basic algebras of the anti-spherical Hecke category associated to W(A_{n-1}) in W(D_n).
Theory 15 (2011), 170--243
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Isotropic Meta Kazhdan-Lusztig Combinatorics II: Isomorphism to the generalised Khovanov arc algebra
An explicit isomorphism is constructed between generalised Khovanov arc algebras of type D and basic algebras of the anti-spherical Hecke category associated to W(A_{n-1}) in W(D_n).