English

A polynomial formula for the solution of 3D reflection equation

Mathematical Physics 2019-02-27 v2 math.MP Quantum Algebra Exactly Solvable and Integrable Systems

Abstract

We introduce a family of polynomials in q2q^2 and four variables associated with the quantized algebra of functions Aq(C2)A_q(C_2). A new formula is presented for the recent solution of the 3D reflection equation in terms of these polynomials specialized to the eigenvalues of the qq-oscillator operators.

Keywords

Cite

@article{arxiv.1411.7763,
  title  = {A polynomial formula for the solution of 3D reflection equation},
  author = {Atsuo Kuniba and Shouya Maruyama},
  journal= {arXiv preprint arXiv:1411.7763},
  year   = {2019}
}

Comments

14 pages. A minor correction in C_{ij} in section 2.1

R2 v1 2026-06-22T07:14:47.087Z