Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778308 | Advances in Mathematics | 2017 | 44 Pages |
Abstract
We construct an algebra embedding of the quantum group Uq(g) into a central extension of the quantum coordinate ring Oq[Gw0,w0/H] of the reduced big double Bruhat cell in G. This embedding factors through the Heisenberg double Hq of the quantum Borel subalgebra Uâ¥0, which we relate to Oq[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 in [10], and the quantum Beilinson-Bernstein theorem investigated in [2] and [36].
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Gus Schrader, Alexander Shapiro,