Braided Matrix Structure of $q$-Minkowski Space and $q$-Poincare Group

Abstract

We clarify the relation between the approach to $q$-Minkowski space of Carow-Watamura et al. with an approach based on the idea of $2\times 2$ braided Hermitean matrices. The latter are objects like super-matrices but with Bose-Fermi statistics replaced by braid statistics. We also obtain new R-matrix formulae for the $q$-Poincare group in this framework.

12 pages

References in corpus (6)

• Quantum group gauge theory on quantum spaces
• Braided Momentum Structure of the q-Poincare Group
• Quantum and Braided Linear Algebra
• Free Braided Differential Calculus, Braided Binomial Theorem and the Braided Exponential Map
• Braided Matrix Structure of the Sklyanin Algebra and of the Quantum Lorentz Group
• Lie Algebras and Braided Geometry

Cited by in corpus (14)

• Quantum Groups and Noncommutative Geometry
• q-Euclidean space and quantum group wick rotation by twisting
• Introduction to Braided Geometry and $q$-Minkowski Space
• *-Structures on Braided Spaces
• On the physical contents of q-deformed Minkowski spaces
• Wave Equations on q-Minkowski space
• Deformed Minkowski spaces: clasification and properties
• Meaning of Noncommutative Geometry and the Planck-Scale Quantum Group
• Linkable Dynkin diagrams and Quasi-isomorphisms for finite dimensional pointed Hopf algebras
• Duality Principle and Braided Geometry
• Some remarks on the {$q$}-Poincare algebra in R-matrix form
• Maxwell operator on q-Minkowski space and q-hyperboloid algebras
• Quantum and braided group Riemannian geometry
• Quasi-{$\ast$} Structure on {$q$}-Poincare algebras