Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894196 | Journal of Geometry and Physics | 2010 | 24 Pages |
Abstract
We construct convex PBW-type Lyndon bases for two-parameter quantum groups Ur,s(so2n+1) with detailed commutation relations. It turns out that under a certain condition, the restricted two-parameter quantum group ur,s(so2n+1) (r,s are roots of unity) is a Drinfel'd double. All Hopf isomorphisms of ur,s(so2n+1), as well as ur,s(sln), are determined. Finally, necessary and sufficient conditions for ur,s(so2n+1) to be a ribbon Hopf algebra are singled out by describing the left and right integrals.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Naihong Hu, Xiuling Wang,