A new current algebra and the reflection equation
Mathematical Physics
2015-05-13 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We establish an explicit algebra isomorphism between the quantum reflection algebra for the R-matrix and a new type of current algebra. These two algebras are shown to be two realizations of a special case of tridiagonal algebras (q-Onsager).
Cite
@article{arxiv.0906.1482,
title = {A new current algebra and the reflection equation},
author = {P. Baseilhac and K. Shigechi},
journal= {arXiv preprint arXiv:0906.1482},
year = {2015}
}
Comments
14 pages; v2: More details in Section 4; Typos corrected; References added; To appear in Lett. Math. Phys