THE QUANTUM CARTAN ALGEBRA ASSOCIATED TO A BICOVARIANT DIFFERENTIAL CALCULUS

被引：0
|
作者：
Cirio, Lucio S. [1 ]
Pagani, Chiara [2 ]
Zampini, Alessandro [1 ]
机构：
[1] Max Planck Inst Math, D-53111 Bonn, Germany
[2] Leibniz Univ Hannover, Inst Anal, D-30167 Hannover, Germany
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2011年 / 68卷 / 03期
关键词：
differential calculi on quantum groups; Cartan calculus; Hopf algebras; LIE-ALGEBRAS; HOPF-ALGEBRAS; GEOMETRY;
D O I：
10.1016/S0034-4877(12)60012-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We associate to any (suitable) bicovariant differential calculus on a quantum group a Cartan Hopf algebra. We provide it with a left, respectively right, representation in terms of left, respectively right. Cartan calculus operators acting on the corresponding exterior algebra. The example of the Hopf algebra associated to the 4D(+) differential calculus on SUq(2) is described.
引用
收藏
页码：319 / 346
页数：28
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