MathDBFreeness conjecture for the positive preprojective K-theoretic Hall algebra
Freeness conjecture for the positive preprojective K-theoretic Hall algebra
From papers
Let be a quiver, let
denote the positive integral preprojective $K$-theoretic Hall algebra, and let $R=$ be the Laurent polynomial coefficient ring in $q$ and the edge parameters $t_e$. **Positive Hall algebra freeness conjecture.** The preprojective $K$-theoretic Hall algebrais a free -module. The conjecture is used to obtain the integral-form isomorphism with the positive half of the Maulik–Okounkov quantum loop group; the source gives no resolution.
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Sources & referencesView supporting material
Primary source
Tianqing Zhu, “Maulik-Okounkov quantum loop groups and Drinfeld double of preprojective K-theoretic Hall algebras”, arXiv:2511.02161 (2026).
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