Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric condition

S. M. Sergeev

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

A local (or modified) Yang-Baxter equation (LYBE) gives a functional map from the parameters of the weights in the left-hand side to the parameters of the corresponding weights in the right-hand side of the LYBE. Such maps solve the functional tetrahedron equation. In this Letter, all the maps associated with LYBE's of the ferro-electric type with a single parameter in each weight matrix are classified.

Original languageEnglish
Pages (from-to)113-119
Number of pages7
JournalLetters in Mathematical Physics
Volume45
Issue number2
DOIs
Publication statusPublished - 2 Jul 1998
Externally publishedYes

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Yang-Baxter Equation
Triangular pyramid
tetrahedrons
Modified Equations
matrices

Cite this

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Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric condition. / Sergeev, S. M.

In: Letters in Mathematical Physics, Vol. 45, No. 2, 02.07.1998, p. 113-119.

Research output: Contribution to journalArticle

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