The PBW Basis of Uq,q¯¯¯(gl¨n)

We consider the PBW basis of the quantum toroidal algebra of gln, which was developed in Neguț (Adv. Math. 372, 2020), and prove commutation relations between its generators akin to the ones studied in Burban and Schiffmann (Duke Math. J. 161(7):1171–1231, 2012) for n = 1. This gives rise to a new p...

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Bibliographic Details
Main Author: Neguț, Andrei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2022
Online Access:https://hdl.handle.net/1721.1/141373