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- W2967093482 abstract "In math.RT/0304173 the derived category of the principal block in modules over the Lusztig quantum algebra at a root of unity is related to the derived category of equivariant coherent sheaves on the Springer resolution. In the present paper we deduce a similar relation between the derived category of the principal block for the {em small (reduced) quantum algebra} and the derived category of (non-equivariant) coherent sheaves on the Springer resolution. As an application we get a geometric description of Hochschild cohomology (in particular, the center) of the regular block for the small quantum group, and use it to give an explicit description of a certain subalgebra in the center (obtained previously by another method and under more restrictive assumptions in math.QA/0107098. We also briefly explain the relation of our result to the geometric description math.RT/0407048 of the derived category of modules over the De Concini -- Kac quantum algebra." @default.
- W2967093482 created "2019-08-22" @default.
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- W2967093482 date "2007-01-01" @default.
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- W2967093482 title "The small quantum group and the Springer resolution" @default.
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- W2967093482 doi "https://doi.org/10.1090/conm/433/08322" @default.
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