Quantum toroidal and shuffle algebras
Name
1302.6202.pdf
Description
Submitted version
Size
637.59 KB
Format
Adobe PDF
Checksum (MD5)
c6e2a3984fcff966cc2c9c04fe2d5f08
Author(s)
Neguţ, Andrei
Date Issued
2020
Journal
Advances in Mathematics
Publisher
Elsevier BV
Version
Original manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.AIM.2020.107288
