Mathematics > Representation Theory
arXiv:2605.23072 (math)
[Submitted on 21 May 2026 (v1), last revised 23 Jun 2026 (this version, v2)]
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 $W (A_{n-1})$ of $W (Dn)$. This isomorphism maps generators to generators, thereby equipping the arc algebras with an Ext-quiver and relations presentation.
Submission history
From: Ben Mills [view email]
[v1]
Thu, 21 May 2026 22:07:06 UTC (71 KB)
[v2]
Tue, 23 Jun 2026 17:26:29 UTC (76 KB)
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