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Keywords:
Algebraic fibration; spinor; co spinor; vector field; field of connection; invariant differentiation; curvature; torsion
Algebraic fibration; spinor; co spinor; vector field; field of connection; invariant differentiation; curvature; torsion
Summary:
In this article fibrations of associative algebras on smooth manifolds are investigated. Sections of these fibrations are spinor, co spinor and vector fields with respect to a gauge group. Invariant differentiations are constructed and curvature and torsion of invariant differentiations are calculated.
References:
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[2] Burlakov, I. M.: Geometric Structures in Bundles of Associative Algebras. Acta Univ. Palacki. Olomuc., Fac. Rer. Nat., Math. 55, 1 (2016), 31–38. MR 3674596 | Zbl 1367.53011
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