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arXiv · 1405.4998

Etingof conjecture for quantized quiver varieties II: affine quivers

Ivan Losev
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Abstract

We study the representation theory of quantizations of Gieseker moduli spaces. Namely, we prove the localization theorems for these algebras, describe their finite dimensional representations and two-sided ideals as well as their categories O in some special cases. We apply this to prove our conjecture with Bezrukavnikov on the number of finite dimensional irreducible representations of quantized quiver varieties for quivers of affine type.

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BibTeXRIS

Ivan Losev. 2014-05-20. Etingof conjecture for quantized quiver varieties II: affine quivers. https://arxiv.org/abs/1405.4998

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