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

页码：319 / 346

页数：28

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