Differential operators on quantized flag manifolds at roots of unity, II
Keyword(s):
AbstractWe formulate a Beilinson-Bernstein-type derived equivalence for a quantized enveloping algebra at a root of 1 as a conjecture. It says that there exists a derived equivalence between the category of modules over a quantized enveloping algebra at a root of 1 with fixed regular Harish-Chandra central character and the category of certain twisted D-modules on the corresponding quantized flag manifold. We show that the proof is reduced to a statement about the (derived) global sections of the ring of differential operators on the quantized flag manifold. We also give a reformulation of the conjecture in terms of the (derived) induction functor.
2012 ◽
Vol 230
(4-6)
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pp. 2235-2294
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2000 ◽
Vol 211
(1)
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pp. 207-230
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2015 ◽
Vol 152
(2)
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pp. 299-326
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KONTSEVICH'S UNIVERSAL FORMULA FOR DEFORMATION QUANTIZATION AND THE CAMPBELL–BAKER–HAUSDORFF FORMULA
2000 ◽
Vol 11
(04)
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pp. 523-551
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2006 ◽
Vol 6
(3)
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pp. 531-551
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1994 ◽
Vol 37
(3)
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pp. 477-482
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