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
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
Journal title :
Reports on Mathematical Physics
