English

Quantum torus algebras and B(C) type Toda systems

Exactly Solvable and Integrable Systems 2017-06-07 v1 Mathematical Physics math.MP Quantum Algebra

Abstract

In this paper, we construct a new even constrained B(C) type Toda hierarchy and derive its B(C) type Block type additional symmetry. Also we generalize the B(C) type Toda hierarchy to the NN-component B(C) type Toda hierarchy which is proved to have symmetries of a coupled NQT+\bigotimes^NQT_+ algebra ( NN-folds direct product of the positive half of the quantum torus algebra QTQT).

Keywords

Cite

@article{arxiv.1705.02050,
  title  = {Quantum torus algebras and B(C) type Toda systems},
  author = {Na Wang and Chuanzhong Li},
  journal= {arXiv preprint arXiv:1705.02050},
  year   = {2017}
}

Comments

13 Pages, accepted for publication in the Journal of Nonlinear Science

R2 v1 2026-06-22T19:37:45.278Z