Reflection equation for the N=3 Cremmer-Gervais R-matrix

被引：1
|
作者：
Motegi, Kohei [1 ]
Yamada, Yuji [2 ]
机构：
[1] Univ Tokyo, Inst Phys, Meguro Ku, Tokyo 1538902, Japan
[2] Rikkyo Univ, Dept Math, Toshima Ku, Tokyo 1718501, Japan
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2010年
关键词：
algebraic structures of integrable models; integrable spin chains (vertex models); K-MATRICES; VERTEX MODEL; SPIN;
D O I：
10.1088/1742-5468/2010/04/P04005
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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).
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页数：32
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