Group Momentum Space and Hopf Algebra Symmetries of Point Particles Coupled to 2+1 Gravity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Arzano, M., Latini, D., Lotito, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146603
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Group Momentum Space and Hopf Algebra Symmetries of Point Particles Coupled to 2+1 Gravity / M. Arzano, D. Latini, M. Lotito // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 33 назв. — англ.

We present an in-depth investigation of the SL(2,R) momentum space describing point particles coupled to Einstein gravity in three space-time dimensions. We introduce different sets of coordinates on the group manifold and discuss their properties under Lorentz transformations. In particular we show...