Vertex-Face/Zeta correspondence
نویسندگان
چکیده
We present the characteristic polynomial for transition matrix of a vertex-face walk on graph, and obtain its spectra. Furthermore, we express 2-dimensional torus by using adjacency matrix, As an application, define new walk-type zeta function with respect to two-dimensional torus, explicit formula.
منابع مشابه
Vertex Representations via Finite Groups and the Mckay Correspondence
where the first factor is a symmetric algebra and the second one is a group algebra. The affine algebra ĝ contains a Heisenberg algebra ĥ. One can define the so-called vertex operators X(α, z) associated to α ∈ Q acting on V essentially using the Heisenberg algebra ĥ. The representation of ĝ on V is then obtained from the action of the Heisenberg algebra ĥ and the vertex operators X(α, z) assoc...
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Based on the vertex-face correspondence, we give an algebraic analysis formulation of correlation functions of the k × k fusion eight-vertex model in terms of the corresponding fusion SOS model. Here k ∈ Z>0. A general formula for correlation functions is derived as a trace over the space of states of lattice operators such as the corner transfer matrices, the half transfer matrices (vertex ope...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2022
ISSN: ['0925-9899', '1572-9192']
DOI: https://doi.org/10.1007/s10801-022-01122-5