On The non-commutative Riemannian geometry of GL_q(n)

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dc.creatorGeorgelin, Y.
dc.creatorMadore, J.
dc.creatorMasson, T.
dc.creatorMourad, J.
dc.date1995-07-06
dc.date.accessioned2026-07-07T09:16:36Z
dc.date.available2026-07-07T09:16:36Z
dc.descriptionA recently proposed definition of a linear connection in non-commutative geometry, based on a generalized permutation, is used to construct linear connections on GL_q(n). Restrictions on the generalized permutation arising from the stability of linear connections under involution are discussed. Candidates for generalized permutation on GL_q(n) are found. It is shown that, for a given generalized permutation, there exists one and only one associated linear connection. Properties of the linear connection are discussed, in particular its bicovariance, torsion and commutative limit.
dc.description20 pages, Latex
dc.identifierhttps://arxiv.org/abs/q-alg/9507002
dc.identifierhttp://arxiv.org/abs/q-alg/9507002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153409
dc.subjectQuantum Algebra
dc.titleOn The non-commutative Riemannian geometry of GL_q(n)
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