Title of article
The Quantum Cartan Algebra Associated to a Bicovariant Differential Calculus
Author/Authors
Emiliano M. Cirio MD، نويسنده , , Lucio S. and Pagani، نويسنده , , Chiara and Zampini، نويسنده , , Alessandro، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
28
From page
319
To page
346
Abstract
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.
Keywords
Cartan calculus , Hopf algebras , differential calculi on quantum groups
Journal title
Reports on Mathematical Physics
Serial Year
2011
Journal title
Reports on Mathematical Physics
Record number
1990484
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