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arXiv · 1611.08470

Representation theory of quantized Gieseker varieties, I

Ivan Losev
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Abstract

We study the representation theory of quantizations of Gieseker moduli spaces. We describe the categories of finite dimensional representations for all parameters and categories O for special values of parameters. We find the values of parameters, where the quantizations have finite homological dimension, and establish abelian localization theorem. We describe the two-sided ideals. Finally, we determine annihilators of the irreducible objects in categories O for some special choices of one-parameter subgroups.

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Ivan Losev. 2016-11-25. Representation theory of quantized Gieseker varieties, I. https://arxiv.org/abs/1611.08470

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