Braided Geometry of the Conformal Algebra

Abstract

We show that the action of the special conformal transformations of the usual (undeformed) conformal group is the $q\to 1$ scaling limit of the braided adjoint action or $R$-commutator of $q$-Minkowski space on itself. We also describe the $q$-deformed conformal algebra in $R$-matrix form and its quasi-$\ast$ structure.

22 pages LATEX -- corrected some typos and explicated some formulae in Section~5 -- nothing essential

References in corpus (6)

• Quantum group gauge theory on quantum spaces
• Braided Momentum Structure of the q-Poincare Group
• Free Braided Differential Calculus, Braided Binomial Theorem and the Braided Exponential Map
• q-Euclidean space and quantum group wick rotation by twisting
• Quantum and Braided Lie Algebras
• *-Structures on Braided Spaces

Cited by in corpus (2)

• Quantum Groups and Noncommutative Geometry
• Quantum and braided diffeomorphism groups