English

On diagonal solutions of the reflection equation

Mathematical Physics 2019-03-20 v2 High Energy Physics - Theory math.MP Quantum Algebra

Abstract

We study solutions of the reflection equation associated with the quantum affine algebra Uq(gl^(N))U_{q}(\hat{gl}(N)) and obtain diagonal K-operators in terms of the Cartan elements of a quotient of Uq(gl(N))U_{q}(gl(N)). We also consider intertwining relations for these K-operators and find an augmented q-Onsager algebra like symmetry behind them.

Keywords

Cite

@article{arxiv.1811.10407,
  title  = {On diagonal solutions of the reflection equation},
  author = {Zengo Tsuboi},
  journal= {arXiv preprint arXiv:1811.10407},
  year   = {2019}
}

Comments

22 pages

R2 v1 2026-06-23T05:28:06.496Z