doi: 10.17706/ijapm.2017.7.3.191-199
PBW Basis of Non-standard Quantum Groups <i>X<sub>q</sub></i>(<i>A<sub>n</sub></i>)
Cheng Cheng
,
- College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China
Abstract
A kind of non-standard quantum group <i>X<sub>q</sub></i>(<i>A<sub>n</sub></i>) is studied in the paper. Root vectors of <i>X<sub>q</sub></i>(<i>A<sub>n</sub></i>) and their commutation relation are described. Then we establish the PBW basis of <i>X<sub>q</sub></i>(<i>A<sub>n</sub></i>).
Keywords
- Non-standard quantum group
- PBW basis
- root vector
How to Cite
Cheng Cheng and Shilin Yang, "PBW Basis of Non-standard Quantum Groups <i>X<sub>q</sub></i>(<i>A<sub>n</sub></i>)," International Journal of Applied Physics and Mathematics, vol. 7, no. 3, pp. 191-199, 2017. https://doi.org/ 10.17706/ijapm.2017.7.3.191-199
Copyright & License
Copyright © 2017 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).