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Universality of the Lie-Isotopic Symmetries for Deformed Minkowskian Metrics

Askar K. Aringazin
K. M. Aringazin
Year: 1994
Keywords: lie-isotopic theories, deformed, quantum groups, space-time, energy, deformed Minkowskian metrics
Lie-Isotopic and Lie-admissible theories are based on non-trivial realisation and generalisation of the conventional product and Lie algebra. Various studies are now performed in applying this formalism to metric spaces, gauge theory, classical and quantum mechanics, field theory and quantum groups. Lie-isotopic construction provides consistent generalisations of Hamiltonian mechanics referred to an Birkhoffian mechanics and Birkhoff-Santilli mechanics.