拟三角Hopf代数的Ore -扩张

数学物理学报 ›› 2009, Vol. 29 ›› Issue (6): 1572-1579.

拟三角Hopf代数的Ore -扩张

南京师范大学泰州学院数学系江苏泰州 225300

收稿日期:2007-12-19 修回日期:2008-10-20 出版日期:2009-12-25 发布日期:2009-12-25
基金资助:
国家自然科学基金(10771182)资助

Ore Extensions of Quasitriangular Hopf Algebras

Department of Mathematics, Taizhou College, Nanjing Normal University, Jiangsu Taizhou 225300

Received:2007-12-19 Revised:2008-10-20 Online:2009-12-25 Published:2009-12-25
Supported by:
国家自然科学基金(10771182)资助

摘要/Abstract

摘要：

该文主要考虑了拟三角Hopf代数的某种Ore -扩张问题. 对拟三角Hopf代数的Ore -扩张何时保持相同的拟三角结构给出了充分必要条件. 最后作为应用, 文章讨论了Sweedler Hopf代数和Lusztig小量子群的Ore -扩张结构.

关键词: 拟三角Hopf代数, Ore -扩张, Hopf Ore -扩张, 量子群

Abstract:

In this paper, a certain Ore extensions of quasitriangular Hopf algebras are considered. And the necessary and
sufficient conditions for the Ore extensions of quasitriangular Hopf algebras to be quasitriangular with the same R-structures are also given. Finally, as an application, the Ore extensions of Sweedler Hopf algebra and Lusztig small quantum group are discussed.

Key words: Quasitriangular Hopf algebra, Ore extension, Hopf Ore extension, Quantum group

中图分类号:

16W30

王志华, 李立斌. 拟三角Hopf代数的Ore -扩张[J]. 数学物理学报, 2009, 29(6): 1572-1579.

WANG Zhi-Hua, LI Li-Bin. Ore Extensions of Quasitriangular Hopf Algebras[J]. Acta mathematica scientia,Series A, 2009, 29(6): 1572-1579.

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