### Abstract

After reviewing the construction of 3D integrable generalized Zamolodchikov-Bazhanov-Baxter models starting from the Sergeev mapping operator, we show how the L-operator of the 2D-integrable Bazhanov-Stroganov model follows from a Linear Problem by imposing quasi-periodicity. The 3D classical mapping and the associated 3D parametrization is used to derive isospectral transformations for the inhomogenous classical and quantum 2D-Bazhanov-Stroganov model transfer matrices

Original language | English |
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Title of host publication | Differential Geometry and Physics |

Editors | Mo-Lin Ge, Weiping Zhang |

Place of Publication | Singapore |

Publisher | World Scientific |

Pages | 210-220 |

Number of pages | 11 |

Volume | 10 |

ISBN (Print) | 9789812703774 |

DOIs | |

Publication status | Published - 2006 |

Event | Nankai Tracts in Math. 10: Differential Geometry and Physics - , Singapore Duration: 1 Dec 2006 → … |

### Publication series

Name | Nankai Tracts in Mathematics |
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### Conference

Conference | Nankai Tracts in Math. 10: Differential Geometry and Physics |
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Country | Singapore |

Period | 1/12/06 → … |

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## Cite this

Von Gehlen, G., Pakuliak, S., & Sergeev, S. (2006). 3-dimensional integrable lattice models and the Bazhanov-Stroganov model. In M-L. Ge, & W. Zhang (Eds.),

*Differential Geometry and Physics*(Vol. 10, pp. 210-220). (Nankai Tracts in Mathematics). World Scientific. https://doi.org/10.1142/9789812772527_0015