Abstract
We deduce from a determinant identity on quantum transfer matrices of generalized quantum integrable spin chain model their generating functions. We construct the isomorphism of Clifford algebra modules of sequences of transfer matrices and the boson space of symmetric functions. As an application, tau-functions of transfer matrices immediately arise from classical tau-functions of symmetric functions.
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The author would like to thank E. Mukhin for valuable discussions and the reviewer for consideration of the text.
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Presented by Valentin Ovsienko.
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Rozhkovskaya, N. Action of Clifford Algebra on the Space of Sequences of Transfer Operators. Algebr Represent Theor 21, 1165–1176 (2018). https://doi.org/10.1007/s10468-018-9766-8
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DOI: https://doi.org/10.1007/s10468-018-9766-8