Crossing symmetry in elliptic solutions of the Yang-Baxter equation and a new L-operator for Belavin's solution

K. Hasegawa

doi:10.1088/0305-4470/26/13/024

Crossing symmetry in elliptic solutions of the Yang-Baxter equation and a new L-operator for Belavin's solution

K. Hasegawa

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

Some algebraic structures in elliptic solutions of the Yang-Baxter equations are investigated. The author proves the crossing symmetry in Belavin's model (1981) as well as in the A_n-1⁽¹⁾ face model and constructs a new family of L-operators for Belavin's R-matrix as an application.

Original language	English
Article number	024
Pages (from-to)	3211-3228
Number of pages	18
Journal	Journal of Physics A: Mathematical and General
Volume	26
Issue number	13
DOIs	https://doi.org/10.1088/0305-4470/26/13/024
Publication status	Published - 1993

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10.1088/0305-4470/26/13/024

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title = "Crossing symmetry in elliptic solutions of the Yang-Baxter equation and a new L-operator for Belavin's solution",

abstract = "Some algebraic structures in elliptic solutions of the Yang-Baxter equations are investigated. The author proves the crossing symmetry in Belavin's model (1981) as well as in the An-1(1) face model and constructs a new family of L-operators for Belavin's R-matrix as an application.",

author = "K. Hasegawa",

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AU - Hasegawa, K.

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AB - Some algebraic structures in elliptic solutions of the Yang-Baxter equations are investigated. The author proves the crossing symmetry in Belavin's model (1981) as well as in the An-1(1) face model and constructs a new family of L-operators for Belavin's R-matrix as an application.

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U2 - 10.1088/0305-4470/26/13/024

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 13

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ER -

Crossing symmetry in elliptic solutions of the Yang-Baxter equation and a new L-operator for Belavin's solution

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