On Weyl structures
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We characterize the relation between the geometrical properties of Weyl manifolds and the algebraic properties of the Weyl algebras (§1) and the deformation algebras associated to two conformal Weyl connections (§2). The last section is devoted to the study of the Weyl-Lyra algebras associated to a conformal Weyl connection and a conformal semisymmetric connection.
M.S.C. 200053B05 53B20 53B21
Key wordsWeyl structures conformal Weyl connections semisymmetric connections deformation algebra Weyl algebra Weyl-Lyra algebra
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- Weyl H.,Space-Time-Matter, Dover Publ., (1922).Google Scholar