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Action of Clifford algebra on the space of sequences of transfer operators

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arxiv 1801.05514 v1 pith:YRDTSQ6T submitted 2018-01-17 math-ph math.MP

Action of Clifford algebra on the space of sequences of transfer operators

classification math-ph math.MP
keywords transferfunctionsmatricesalgebracliffordquantumsequencesspace
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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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  1. Baxter Q-operators from a Schwinger-Boson construction of the master T-operator and the mKP hierarchy

    math-ph 2026-07 accept novelty 6.0

    A Schwinger-boson Fock-space trace defines the gl(M) master T-operator, and the same L-operator degenerates to the Q-operator L-operator of Bazhanov–Frassek–Lukowski–Meneghelli–Staudacher.