Deformed W-algebras in Type A for Rectangular Nilpotent
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220_2021_4263_ReferencePDF.pdf
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2.61 MB
Format
Adobe PDF
Checksum (MD5)
19897964af7e4f3be8c66d94b29c3c11
Author(s)
Neguţ, Andrei
Date Issued
November 19, 2021
Publisher
Springer Berlin Heidelberg
Citation
Neguţ, Andrei. 2021. "Deformed W-algebras in Type A for Rectangular Nilpotent."
Version
Author's final manuscript
Abstract
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 that the action of the quantum toroidal algebra on the K–theory groups of the moduli spaces of parabolic sheaves factors through Prn.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00220-021-04263-z
