Quantum torus algebras and B(C) type Toda systems

Na Wang; Chuanzhong Li

doi:10.1007/s00332-017-9392-3

paper

Quantum torus algebras and B(C) type Toda systems

arXiv:1705.02050 · doi:10.1007/s00332-017-9392-3

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 $N$ -component B(C) type Toda hierarchy which is proved to have symmetries of a coupled $⨂^{N} Q T_{+}$ algebra ( $N$ -folds direct product of the positive half of the quantum torus algebra $QT$ ).

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