Tetrahedron equation and quantum R matrices for q-oscillator representations
Tetrahedron equation and quantum R matrices for q-oscillator representations
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q 振荡器表示的四面体方程和量子 R 矩阵
DOI：
10.1088/1742-6596/597/1/012051
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Atsuo Kuniba and Masato Okado
中科院分区：
文献类型：
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作者：
Fujiwara;Kazumasa and Machihara;Shuji and Ozawa;Tohru;Kei Ji Izuchi and Yuko Izuchi;Setsuro FUJIIE;黒木場正城;Kei Ji Izuchi and Kou Hei Izuchi;黒木場正城;Yoshihito Kohsaka;Takuya Hosokawa and Shuichi Ohno;Atsuo Kuniba and Shouya Maruyama;Atsuo Kuniba and Masato Okado
我们回顾和补充了作者关于满足四面体方程的三维R(3DR)化为量子R矩阵的最新结果，这些矩阵是关于Uq(D(2)n+1)、Uq(A(2)2n)和Uq(C(1)n)的Q振子表示的。给出了3DR和n=1的量子R矩阵的新公式，并详细证明了Q振子表示的张量积的不可约性。
We review and supplement the recent result by the authors on the reduction of the three dimensional R (3d R) satisfying the tetrahedron equation to the quantum R matrices for the q-oscillator representations of U q (D (2) n+ 1), U q (A (2) 2n) and U q (C (1) n). A new formula for the 3d R and a quantum R matrix for n= 1 are presented and a proof of the irreducibility of the tensor product of the q-oscillator representations is detailed.