A new new coproduct on quantum loop algebras
Representation Theory
2026-04-07 v2 Quantum Algebra
Abstract
Quantum loop algebras generalize for simple Lie algebras , and they include examples such as quantum affinizations of Kac-Moody Lie algebras, K-theoretic Hall algebras of quivers, and BPS algebras for toric Calabi-Yau threefolds. In the present paper, we define a coproduct on general quantum loop algebras, which coincides with the Drinfeld-Jimbo coproduct in the particular case of . We investigate the consequences of our construction for the representation theory of quantum loop algebras, particularly for tensor products of modules and R-matrices.
Cite
@article{arxiv.2602.01130,
title = {A new new coproduct on quantum loop algebras},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:2602.01130},
year = {2026}
}