The Kappa-Weyl group and its algebra

Abstract

The $\kappa -$Poincare group and its algebra in an arbitrary basis are constructed. The $\kappa -$de\-formation of the Weyl group and its algebra in any dimensions and in the reference frame in which $g_{00}=0$ are discussed.

LaTeX

Cited by in corpus (12)

• Introduction to Doubly Special Relativity
• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• Phase spaces of Doubly Special Relativity
• Time Discretization From Noncommutativity
• Jordanian Quantum Deformations of D=4 Anti-de-Sitter and Poincare Superalgebras
• Observers and their notion of spacetime beyond special relativity
• Twisted bialgebroids versus bialgebroids from a Drinfeld twist
• Spacetime from locality of interactions in deformations of special relativity: the example of $\kappa$-Poincaré Hopf algebra
• k-deformed Poincare algebras and quantum Clifford-Hopf algebras
• Doubly Special Relativity with light-cone deformation
• Real and pseudoreal forms of D=4 complex Euclidean (super)algebras and super-Poincare / super-Euclidean r-matrices
• Doubly Special Relativity and quantum gravity phenomenology