記述言語：英語   掲載種別：研究論文（国際会議プロシーディングス）   出版者・発行元：WORLD SCIENTIFIC PUBL CO PTE LTD  

We classify and list up all the meromorphic solutions K(z) to the reflection equation associated to the critical Z(N)-symmetric vertex model under two assumptions that none of the diagonal elements is constantly zero and that there is at least a pair of elements K-b(a)(z)K-a(b)(z) not equal 0 We make explicit the matrix elements of K(z), parameters they have and the relations among parameters.

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：IOP PUBLISHING LTD  

We consider the reflection equation of the N = 3 Cremmer-Gervais R-matrix. The reflection equation is shown to be equivalent to 38 equations which do not depend on the parameter of the R-matrix, q. Solving those 38 equations, the solution space is found to be the union of two types of spaces, each of which is parameterized by the algebraic variety P(1)(C) x P(1)(C) x P(2)(C) and C x P(1)(C) x P(2)(C).

DOI： 10.1088/1742-5468/2010/04/P04005

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：IOP PUBLISHING LTD  

We consider solutions to the reflection equation for the critical Z(N)-symmetric vertex model, which is the trigonometric limit of the elliptic Z(N)-symmetric R-matrix of Belavin. These critical R-matrices have two parameters u and. The transfer matrices T(u, eta) constructed from this R-matrix R(u, eta) under the cyclic boundary condition are commutative among different u when eta is in common, [T(u, eta), T(v, eta)] = 0. We prove that an arbitrary solution to the reflection equation is independent of the parameter eta.

DOI： 10.1088/0305-4470/37/2/019

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記述言語：英語   掲載種別：研究論文（その他学術会議資料等）  

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記述言語：英語   掲載種別：研究論文（その他学術会議資料等）  

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記述言語：日本語   掲載種別：記事・総説・解説・論説等（商業誌、新聞、ウェブメディア）   出版者・発行元：サイエンス社  

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記述言語：日本語   掲載種別：記事・総説・解説・論説等（商業誌、新聞、ウェブメディア）   出版者・発行元：日本評論社  

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