The q-deformed differential operator algebra, a new solution to the Yang-Baxter equation and quantum plane
Jian-Hui Dai; Han-Ying Guo; Hong Yan; Jian-Hui Dai; CCAST World Lab., Beijing, China; Han-Ying Guo; CCAST World Lab., Beijing, China; Hong Yan; CCAST World Lab., Beijing, China
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1991-04-21
Аннотация:
The q-deformed differential calculus is proposed and analysed in the framework of quantum plane. The q-deformed differential operator algebra is investigated and applied in the investigation of the quantum group SU<sub>q</sub>(2) and its representations. The generalization to n-dimensional differential calculus is made and shown to be a new solution to quantum plane by providing a new solution of the Yang-Baxter equation.
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