Titlebook: Noncommutative Structures in Mathematics and Physics; Steven Duplij,Julius Wess Book 2001 Kluwer Academic Publishers 2001 Boson.Gauge theo

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Supersymmetric Odd Mechanical Systems and Hilbert Q-Module Quantization,Lie algebra approach in the sense that on the classical level we have a ?.-graded Lie-Poisson algebra of observables which after quantization is replaced by a ?.-graded Lie algebra of operators. Both, graded Poisson bracket and ?.-graded commutator are even mappings. The second way of realization of

constitutional

Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces,erframes with associated nonlinear connection structure. Following the formalism of enveloping algebras and star product calculus we propose a model of gauge la-gravity on noncommutative spaces. The corresponding Seiberg-Witten maps are established which allow the definition of dynamics for a finite

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