基于RTT实现的量子超代数的坐标超代数
Coordinate Superalgebras of Quantum Superalgebras Based on the RTT Relation
DOI: 10.12677/PM.2020.1012144, PDF,    科研立项经费支持
作者: 耿亚娜, 常智华*：华南理工大学数学学院，广东 广州
关键词: R-矩阵；量子超代数；坐标超代数；R-Matrix； Quantum Superalgebras； Coordinate Superalgebras
摘要: 一个量子超代数可以通过一个R-矩阵及相应的RTT关系给出。对于一个由R-矩阵R定义的量子超代数U(R)，本文验证了它的坐标超代数A(R)的矩阵生成元也满足RTT关系。我们进一步的以量子超代数Uq(glm|n)和Uq(qn)为例阐释了上述结果。
Abstract: A quantum superalgebra can be given by an R-matrix and the corresponding RTT relation. For a quantum superalgebra U(R) defined by the R-matrix  , we verified that the matrix generators of its coordinate superalgebra A(R) also satisfy the RTT relation in this paper. And we further illustrate the above results by taking quantum superalgebras Uq(glm|n) and Uq(qn) as examples.
文章引用：耿亚娜, 常智华. 基于RTT实现的量子超代数的坐标超代数[J]. 理论数学, 2020, 10(12): 1213-1219. https://doi.org/10.12677/PM.2020.1012144

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