Towards a topological (dual of) quantum \(\kappa\)-Poincaré group

DOI10.1016/S0034-4877(06)80019-4zbMath1109.46059arXivhep-th/0505093MaRDI QIDQ2507366

Piotr Stachura

Publication date: 10 October 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0505093

zbMATH Keywords

quantum Poincaré groupLorentz group action

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative differential geometry (46L87)

Related Items (1)

Semidirect products of C*-quantum groups: multiplicative unitaries approach

Cites Work

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• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the classical Yang-Baxter equations
• Extensions of locally compact quantum groups and the bicrossed product construction.
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• Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
• Conservation laws in “doubly special relativity”
• From double Lie groups to quantum groups
• RELATIVITY IN SPACETIMES WITH SHORT-DISTANCE STRUCTURE GOVERNED BY AN OBSERVER-INDEPENDENT (PLANCKIAN) LENGTH SCALE
• Testable scenario for relativity with minimum length
• Deformed boost transformations that saturate at the Planck scale

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