Tetrahedron equation and quantum R matrices for infinite-dimensional modules of U_q(A_1 ~((1))) and U_q(A _2 ~((2)))

Kuniba A.; Okado M.

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Tetrahedron equation and quantum R matrices for infinite-dimensional modules of U_q(A_1 ~((1))) and U_q(A _2 ~((2)))

机译：U_q（A_1〜（（（1）））和U_q（A _2〜（（2）））的无穷维模块的四面体方程和量子R矩阵

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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 U_q(A_1 ~((1))) and U_q(A_2 ~((2))) corresponding to an affinization of Verma modules of their subalgebras isomorphic to U_q(sl_2) and q_4(sl_2.

机译：从q振子解到与量化坐标环相关的四面体方程，我们采用Sergeev和第一作者先前拟定的简化程序来构造Yang-Baxter方程的解。用对应于U_q（A_1〜（（（1）））和U_q（A_2〜（（2）））的无穷维模块的量子R矩阵来标识结果，这些无限维模块的子代数的Verma模块与U_q同构（sl_2）和q_4（sl_2。

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《Journal of physics, A. Mathematical and theoretical》 |2013年第48期|共12页
作者
Kuniba A.; Okado M.;
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正文语种 eng
中图分类物理学;
关键词
Tetrahedron; solution; tetrahedron;

机译：四面体;溶液;四面体;

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专利

1. Tetrahedron equation and quantum R matrices for infinite-dimensional modules of U_q(A_1 ~((1))) and U_q(A _2 ~((2))) [J] . Kuniba A., Okado M. Journal of physics, A. Mathematical and theoretical . 2013,第48期

机译：U_q（A_1〜（（（1）））和U_q（A _2〜（（2）））的无穷维模块的四面体方程和量子R矩阵
2. Classification on irreducible Whittaker modules over quantum group U_q(sl_3, Λ) [J] . Xia Limeng, Guo Xiangqian, Zhang Jiao Frontiers of mathematics in China . 2021,第4期

机译：在量子组U_Q（SL_3，λ）上的IRRAFUECIBLE WHTTERAKE模块的分类
3. Gr?bner-Shirshov bases of irreducible modules over the quantum group U_q(F_4) [J] . Ablmit Zikerya, Abdukadir Obul Rendiconti del Circolo Matematico di Palermo . 2015,第2期

机译：量子群U_q（F_4）上不可约模块的Gr？bner-Shirshov碱
4. Euclidean and super Euclidean algebras and Localizations of U_q(sl(2)) and U_q(osp(12)) [C] . Patrick Moylan Symposium on Quantum Theory and Symmetries . 2014

机译：欧几里德和超级欧几里德代数和U_Q（SL（2））和U_Q（OSP（1 2））的定位
5. The Bloch-Okounkov correlation functions and dimension formulas for modules of infinite-dimensional Lie algebras. [D] . Taylor, David George. 2007

机译：无穷维李代数模块的Bloch-Okounkov相关函数和维数公式。
6. An inherently infinite-dimensional quantum correlation [O] . Andrea Coladangelo, Jalex Stark -1

机译：固有的无限维量子相关性
7. Tetrahedron equation and quantumRmatrices for infinite-dimensional modules of $U_q(A^{(1)}_1)$ and $U_q (A^{(2)}_2)$ [O] . Atsuo Kuniba, Masato Okado 2013

机译：$ U_Q的无限维模块的四面体方程和Quantumrmatrics（a ^ {（1）} _ 1）$和$ 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)))

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