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The Wheel Conditions and K-theoretic Hall Algebras

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arxiv 1909.07870 v2 pith:FYJ7RL72 submitted 2019-09-17 math.AG

Yu Zhao This is my paper · ORCID
classification math.AG
keywords conditionshallk-theoreticwheelaffinealgebraalgebrasfeigin-odesskii
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In this note, we give a geometric realization of the wheel conditions initiated by Feigin-Odesskii through the K-theoretic Hall algebra on the affine plane.

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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. The loop-nilpotent cohomological Hall algebra

    math.RT 2026-07 conditional novelty 7.0 of 10

    Loop-nilpotent CoHAs of tripled quivers are isomorphic to an explicit integral shuffle algebra, yielding generators, Coulomb-branch surjections, BPS characterizations, and a new Kac-polynomial formula.

  2. Hall induction for cotangent representations and wheel conditions

    math.RT 2025-12 conditional novelty 6.0 of 10

    For cotangent representations of reductive groups with a suitable torus, Borel-Moore homology of the zero fiber is torsion free and the K-theoretic restriction satisfies wheel-type ideal divisibility conditions.

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