Yang-Baxter equation and representation theory: I
Yang-Baxter equation and representation theory: I
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DOI：
10.1007/bf02285311
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发表时间：
1981-09
影响因子：
1.2
通讯作者：
P. Kulish;N. Reshetikhin;E. Sklyanin
中科院分区：
文献类型：
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作者：
P. Kulish;N. Reshetikhin;E. Sklyanin
考虑了Yang-Baxter方程（分解S-矩阵）的GL（N，N）解的构造问题.在N =2的情况下，得到了GL（2，n）的任意有限维不可约表示的所有解，并计算了它们的特征值.对于N>2的情形，也给出了一些结果.
The problem of constructing the GL(N,ℂ) solutions to the Yang-Baxter equation (factorizedS-matrices) is considered. In caseN=2 all the solutions for arbitrarily finite-dimensional irreducible representations of GL(2,ℂ) are obtained and their eigenvalues are calculated. Some results for the caseN>2 are also presented.