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arXiv · 2106.05169

K-theoretic Hall algebras of quivers with potential as Hopf algebras

Tudor Pădurariu
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Abstract

For $(Q,W)$ a symmetric quiver with potential satisfying a K\"unneth-type condition, we construct (positive and negative) extensions of its K-theoretic Hall algebra which are bialgebras. In particular, there are bialgebra extensions of preprojective KHAs of a quiver $Q$ and one can construct their Drinfeld double algebra.

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BibTeXRIS

Tudor Pădurariu. 2021-06-09. K-theoretic Hall algebras of quivers with potential as Hopf algebras. https://arxiv.org/abs/2106.05169

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