1998/12/08 by J. Lukierski, Lukierski, J.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9812063
15 pages, LaTeX. Revised version. Added: To be published in the Proceedings of III International Workshop ``Classical and Quantum Integrable Systems", Yerevan, July 1998, Eds. L.D. Mardoyan et al., JINR Dubna Publ. Dept
openalex publication_date 1998/12/08 · arxiv created 1998/12/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe three ways of modifying the relativistic Heisenberg algebra - first one not linked with quantum symmetries, second and third related with the formalism of quantum groups. The third way is based on the identification of generalized deformed phase space with the semidirect product of two dual Hopf algebras describing quantum group of motions and the corresponding quantum Lie algebra. As an example the κ-deformation of relativistic Heisenberg algebra is given, determined by κ-deformed D=4 Poincaré symmetries.