Twist-related geometries on q-Minkowski space

Details Twist-related geometries on q-Minkowski space Twist-related geometries on q-Minkowski space

1999-01-06

arxiv.org/abs/math/9901019v1

Proc.Steklov Inst.Math.226:97-111,1999

Mathematics

Quantum Algebra

24 pages, LaTeX

Scientific paper

The role of the quantum universal enveloping algebras of symmetries in constructing non-commutative geometry of the space-time including vector bundles, measure, equations of motion and their solutions is discussed. In the framework of the twist theory the Klein-Gordon-Fock and Dirac equations on the quantum Minkowski space are studied from this point of view for the simplest quantum deformation of the Lorentz algebra induced by its Cartan subalgebra twist.

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