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arXiv · 1705.02050

Quantum torus algebras and B(C) type Toda systems

Na Wang·Chuanzhong Li
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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 $\bigotimes^NQT_+ $ algebra ( $N$-folds direct product of the positive half of the quantum torus algebra $QT$).

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Na Wang, Chuanzhong Li. 2017-05-05. Quantum torus algebras and B(C) type Toda systems. https://doi.org/10.1007/s00332-017-9392-3

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