Mathematics – Quantum Algebra
Scientific paper
1995-07-06
Mathematics
Quantum Algebra
20 pages, Latex
Scientific paper
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.
Georgelin Yvon
Madore John
Masson Thierry
Mourad Jihad
No associations
LandOfFree
On The non-commutative Riemannian geometry of GL_q(n) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On The non-commutative Riemannian geometry of GL_q(n), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On The non-commutative Riemannian geometry of GL_q(n) will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-538452