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- W4302592014 abstract "We construct an algebra embedding of the quantum group $U_q(mathfrak{g})$ into the quantum coordinate ring $mathcal{O}_q[G^{w_0,w_0}/H]$ of the reduced big double Bruhat cell in $G$. This embedding factors through the Heisenberg double $mathcal{H}_q$ of the quantum Borel subalgebra $U_{geq0}$, which we relate to $mathcal{O}_q[G]$ via twisting by the longest element of the quantum Weyl group. Our construction is inspired by the Poisson geometry of the Grothendieck-Springer resolution studied by Evens and Lu, and the quantum Beilinson-Bernstein theorem investigated by Backelin, Kremnitzer, and Tanisaki." @default.
- W4302592014 created "2022-10-06" @default.
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- W4302592014 date "2015-08-27" @default.
- W4302592014 modified "2023-09-29" @default.
- W4302592014 title "Quantum groups, quantum tori, and the Grothendieck-Springer resolution" @default.
- W4302592014 doi "https://doi.org/10.48550/arxiv.1508.07057" @default.
- W4302592014 hasPublicationYear "2015" @default.
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