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math.DG2025
Kinematical Lie algebras and symplectic symmetric spaces I: Lie algebraic aspects
Pierre Bieliavsky, Nicolas Boulanger
We generalize the notion of kinematical Lie algebra introduced in physics for the classification of the various possible relativity algebras an isotropic spacetime can accommodate.…
math.DG2007★ 5 cited
Symplectic Symmetric Spaces
Pierre Bieliavsky
This is the pdf -version of the author's Ph.D. thesis (1995, ULB, Belgium). The notion of symeplectic symmertic space is introduced and studied via Lie theoretical and symplectic g…