HOPF-ALGEBRA DESCRIPTION OF NONCOMMUTATIVE-SPACE–TIME SYMMETRIES
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Publication:4665296
DOI10.1142/S0217751X04020919zbMath1078.81036arXivhep-th/0306013MaRDI QIDQ4665296
Francesco D'Andrea, Alessandra Agostini, Giovanni Amelino-Camelia
Publication date: 11 April 2005
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0306013
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65)
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Cites Work
- Unnamed Item
- Unnamed Item
- Deformed field theory on \(\kappa\)-spacetime
- Testing dispersion relations of quantum \(\kappa\)-Poincaré algebra on cosmological ground
- Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
- Classification of differential calculi on Uq(b+), classical limits, and duality
- GENERALIZED WEYL SYSTEMS AND κ-MINKOWSKI SPACE
- NON-COMMUTATIVE SPACE–TIME OF DOUBLY SPECIAL RELATIVITY THEORIES
- Quantized Space-Time
- Noncommutative field theory