Quantum Lorentz and braided Poincare groups

Abstract

Quantum Lorentz groups H admitting quantum Minkowski space V are selected. Natural structure of a quantum space G = V x H is introduced, defining a quantum group structure on G only for triangular H (q=1). We show that it defines a braided quantum group structure on G for |q|=1.

LaTeX, 14 pages

References in corpus (5)

• Braided Momentum Structure of the q-Poincare Group
• Poisson structures on the Poincare group
• On the classification of quantum Poincaré groups
• On the structure of inhomogeneous quantum groups
• Phase spaces related to standard classical $r$-matrices

Cited by in corpus (2)

• On crossed product of algebras
• Infinite Hopf Families of Algebras and Yang-Baxter Relations