Quantum toroidal and shuffle algebras

Author(s)
Neguţ, Andrei
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Abstract
© 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 toroidal algebra.
Date issued
2020
URI
https://hdl.handle.net/1721.1/135462
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Advances in Mathematics
Publisher
Elsevier BV
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