Quantum toroidal and shuffle algebras

© 2020 Elsevier Inc. In this paper, we prove that the quantum toroidal algebra Uq,q‾(gl¨n) is isomorphic to the double shuffle algebra of Feigin and Odesskii for the cyclic quiver. The shuffle algebra viewpoint will allow us to prove a factorization formula for the universal R−matrix of the quantum...

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Bibliographic Details
Main Author: Neguţ, Andrei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Elsevier BV 2021
Online Access:https://hdl.handle.net/1721.1/135462