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arXiv · 2004.02737

Deformed W-algebras in type A for rectangular nilpotent

Andrei Neguţ
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Abstract

For any natural numbers n,r, we construct an algebra P_n^r via generators and quadratic relations, and show that it deforms the W-algebra of gl_{nr} with respect to a nilpotent with Jordan block decomposition r+...+r. We introduce a surjective morphism from half of the quantum toroidal algebra of gl_n to P_n^r, and show that the action of the quantum toroidal algebra on the K-theory groups of the moduli spaces of parabolic sheaves factors through P_n^r.

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BibTeXRIS

Andrei Neguţ. 2020-04-06. Deformed W-algebras in type A for rectangular nilpotent. https://arxiv.org/abs/2004.02737

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