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- W2922872693 abstract "We show that in ADE type the trace of Webster's categorification of a tensor product of irreducibles for the quantum group is isomorphic to a tensor product of Weyl modules for the current algebra $dot{U}(mathfrak{g}[t])$. This extends a result of Beliakova, Habiro, Lauda, and Webster who showed that the trace of the categorified quantum group $dot{mathcal{U}}^*(mathfrak{g})$ is isomorphic to $dot{U}(mathfrak{g}[t])$, and the trace of a cyclotomic quotient of $dot{mathcal{U}}^*(mathfrak{g})$, which categorifies a single irreducible for the quantum group, is isomorphic to a Weyl module for $dot{U}(mathfrak{g}[t])$. We use a deformation argument based on Webster's technique of unfurling 2-representations." @default.
- W2922872693 created "2019-04-01" @default.
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- W2922872693 date "2019-03-20" @default.
- W2922872693 modified "2023-09-27" @default.
- W2922872693 title "Trace decategorification of tensor product algebras" @default.
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