Tetrahedron equation and quantum R matrices for infinite dimensional modules of U_q(A^{(1)}_1) and U_q(A^{(2)}_2)

Tetrahedron equation and quantum R matrices for infinite dimensional modules of U_q(A^{(1)}_1) and U_q(A^{(2)}_2)
复制标题

U_q(A^{(1)}_1) 和 U_q(A^{(2)}_2) 无限维模的四面体方程和量子 R 矩阵

DOI:
10.1088/1751-8113/46/48/485203
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发表时间:
2013
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
A. Kuniba and M. Okado
A. Kuniba and M. Okado
中科院分区:
--
文献类型:
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作者:
T. Arakawa;T. Kuwabara and F. Malikov;T. Arakawa;T. Arakawa;Tomoyuki Arakawa;T. Arakawa;T. Arakawa;T. Arakawa;T. Arakawa;T. Arakawa;T. Arakawa;T. Arakawa;T. Arakawa;A. Kuniba and M. Okado

文献摘要

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从q振子解到与量子化坐标环相关的四面体方程,我们通过应用先前由Sergeev和第一作者制定的约简过程构造了Yang-Baxter方程的解。的无穷维模的量子R矩阵对结果进行了识别
From the q-oscillator solution to the tetrahedron equation associated with a quantized coordinate ring, we construct solutions to the Yang–Baxter equation by applying a reduction procedure formulated earlier by Sergeev and the first author. The results are identified with the quantum R matrices for the infinite-dimensional modules of