Diameters of Homogeneous Spaces

Details Diameters of Homogeneous Spaces Diameters of Homogeneous Spaces

2002-09-20

arxiv.org/abs/quant-ph/0209113v2

Physics

Quantum Physics

Scientific paper

Let G be a compact connected Lie group with trivial center. Using the action of G on its Lie algebra, we define an operator norm | |_{G} which induces a bi-invariant metric d_G(x,y)=|Ad(yx^{-1})|_{G} on G. We prove the existence of a constant \beta \approx .12 (independent of G) such that for any closed subgroup H \subsetneq G, the diameter of the quotient G/H (in the induced metric) is \geq \beta.

Affiliated with

Also associated with

No associations

Rating

Diameters of Homogeneous Spaces 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 Diameters of Homogeneous Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diameters of Homogeneous Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-224674