Representation Theory of Quantized Gieseker Varieties, I
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 we establish the abelian localization theorem.We classify two-sided ideals. Finally, we determine the annihilators of the irreducible objects in categories O for some special choices of one-parameter subgroups.
KeywordsGieseker varieties quantizations categories O localization theorems two-sided ideals
Mathematics Subject Classification (2010):Primary 16G99 Secondary 16G20 53D20 53D55
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