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- W2897796175 abstract "This paper is the first step in the project of categorifying the bialgebra structure on the half of quantum group $U_{q}(mathfrak{g})$ by using geometry and Hall algebras. We equip the category of D-modules on the moduli stack of objects of the category $Rep_{mathbb{C}}(Q)$ of representations of a quiver with the structure of an algebra object in the category of stable $infty$-categories. The data for this construction is provided by an extension of the Waldhausen construction for the category $Rep_{mathbb{C}}(Q)$. We discuss the connection to the Khovanov-Lauda-Rouquier categorification of half of the quantum group $U_{q}(mathfrak{g})$ associated to the quiver $Q$ and outline our approach to the categorification of the bialgebra structure." @default.
- W2897796175 created "2018-10-26" @default.
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- W2897796175 date "2018-10-16" @default.
- W2897796175 modified "2023-09-27" @default.
- W2897796175 title "Hall categories and KLR categorification" @default.
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