Deformed W-algebras in Type A for Rectangular Nilpotent

For any n,r∈N, we construct an algebra Prn via generators and quadratic relations, and show that it deforms the W–algebra of glnr with respect to a nilpotent with Jordan block decomposition r+…+r. We introduce a surjective morphism from half of the quantum toroidal algebra of gln to Prn, and show th...

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Bibliographic Details
Main Author: Neguţ, Andrei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2022
Online Access:https://hdl.handle.net/1721.1/139618