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- W2979136578 abstract "The $imath$quiver algebras were introduced recently by the authors to provide a Hall algebra realization of universal $imath$quantum groups, which is a generalization of Bridgeland's Hall algebra construction for (Drinfeld doubles of) quantum groups; here an $imath$quantum group and a corresponding Drinfeld-Jimbo quantum group form a quantum symmetric pair. In this paper, the Dynkin $imath$quiver algebras are shown to arise as new examples of singular Nakajima-Keller-Scherotzke categories. Then we provide a geometric construction of the universal $imath$quantum groups and their dual canonical bases with positivity, via the quantum Grothendieck rings of Nakajima-Keller-Scherotzke quiver varieties, generalizing Qin's geometric realization of quantum groups of type ADE." @default.
- W2979136578 created "2019-10-10" @default.
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- W2979136578 date "2019-10-03" @default.
- W2979136578 modified "2023-09-27" @default.
- W2979136578 title "Hall algebras and quantum symmetric pairs III: Quiver varieties" @default.
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