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

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A 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.
20 pages, Latex

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/153409

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/q-alg/9507002
 http://arxiv.org/abs/q-alg/9507002

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arXiv