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arxiv: hep-th/9610184 · v1 · pith:PY6TVTWYnew · submitted 1996-10-23 · ✦ hep-th · math-ph· math.GR· math.MP· math.RA

Geometries of orthogonal groups and their contractions: a unified classical deformation viewpoint

classification ✦ hep-th math-phmath.GRmath.MPmath.RA
keywords groupscontractionsgeometriesorthogonalspacesadvancedapproachcasimirs
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The geometries of spaces having as groups the real orthogonal groups and some of their contractions are described from a common point of view. Their central extensions and Casimirs are explicitly given. An approach to the trigonometry of their spaces is also advanced.

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