Abstract
AbstractWe consider the PBW basis of the quantum toroidal algebra of ${\mathfrak {g}\mathfrak {l}}_{n}$
g
l
n
, 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 presentation of the quantum toroidal algebra of type A.
Funder
Massachusetts Institute of Technology
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Algebra and Number Theory
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