572 citations · 3k across the 64 of their papers we have counts for
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From Quantum Planes to Quantum Groups and back; Cartan Calculus
Peter Schupp
A Cartan Calculus of Lie derivatives, differential forms, and inner derivations, based on an undeformed Cartan identity, is constructed. We attempt a classification of various type…
Quantum Groups, Non-Commutative Differential Geometry and Applications
Peter Schupp
The topic of this thesis is the development of a versatile and geometrically motivated differential calculus on non-commutative or quantum spaces, providing powerful but easy-to-us…
Cartan Calculus on Quantum Lie Algebras
Peter Schupp, Paul Watts, Bruno Zumino
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing ex…
The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$
Chryssomalis Chryssomalakos, Peter Schupp, Paul Watts
We review the construction of the cross product algebra $\A\rtimes\U$ from two dually paired Hopf algebras $\U$ and $\A$. The canonical element in $\U \otimes \A$ is then introduce…
Cartan Calculus for Hopf Algebras and Quantum Groups
Peter Schupp, Paul Watts, Bruno Zumino
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing ex…