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

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。

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.