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Quiver presentations and Schur--Weyl duality for Khovanov arc algebras

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arxiv 2411.15520 v1 pith:K2IA35AW submitted 2024-11-23 math.RT math.COmath.QA

Chris Bowman , Maud De Visscher , Alice Dell'Arciprete , Amit Hazi , Rob Muth , Catharina Stroppel This is my paper
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keywords algebraskhovanovquiveranalogueconjecturedualitykleshchev--martinprecise
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abstract

We provide an ${\rm Ext}$-quiver and relations presentation of the Khovanov arc algebras and prove a precise analogue of the Kleshchev--Martin conjecture in this setting.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Morita equivalences between cyclotomic KLR algebras in types $\mathtt{C}_\infty$ and $\mathtt{A}_\infty$

    math.RT 2025-11 conditional novelty 8.0 of 10

    Level-one cyclotomic KLR algebras in type C∞ are graded Morita equivalent to level-two cyclotomic KLR algebras in type A∞, with explicit correspondences on Specht and simple modules.

  2. Lectures on SL(3) foams and link homology

    math.QA 2025-07 conditional novelty 1.0 of 10

    This is an expository review of SL(3) foam evaluation and its use in categorifying the Kuperberg quantum invariant, with no new theorems.

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