Abstract
In the present paper, we describe general properties of quantum matrices that are coefficient matrices of an auxiliary problem for quantum discrete three-dimensional integrable models. Our goal is to prove a universal functional equation for the quantum determinant in the case of a finite-dimensional representation of a local Weyl algebra. Bibliography: 4 titles.
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REFERENCES
S. M. Sergeev, "On a two dimensional system associated with the complex of solutions of the tetrahedron equation," solv-int/9709013(1997), to appear in Inter. J. Mod. Phys.
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S. M. Sergeev, "Auxiliary transfer matrices for three dimensional integrable models," Theor. Math. Phys., (2000) (to appear).
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Sergeev, S.M. Coefficient Matrices of a Quantum Discrete Auxiliary Linear Problem. Journal of Mathematical Sciences 115, 2049–2057 (2003). https://doi.org/10.1023/A:1022612232050
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DOI: https://doi.org/10.1023/A:1022612232050