Representation theory of quantized Gieseker varieties, I
Representation Theory
2017-03-03 v2
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.
Keywords
Cite
@article{arxiv.1611.08470,
title = {Representation theory of quantized Gieseker varieties, I},
author = {Ivan Losev},
journal= {arXiv preprint arXiv:1611.08470},
year = {2017}
}
Comments
31 pages, v2 32 pages, acknowledgements added and some arguments elaborated