Mathematics – Quantum Algebra
Scientific paper
2009-09-10
Mathematics
Quantum Algebra
12 pages
Scientific paper
Using various tools from representation theory and group theory, but without using hard classification theorems such as the classification of finite simple groups, we show that the Jones representations of braid groups are dense in the complex Zariski topology when the parameter $t$ is not a root of unity. As first established by Freedman, Larsen, and Wang, we the same result when t is a non-lattice root of unity, other than one initial case when t has order 10. We also compute the real Zariski closure of these representations. When such a representation is indiscrete in the analytic topology, then its analytic closure is the same as its real Zariski closure.
No associations
LandOfFree
Denseness and Zariski denseness of Jones braid representations 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 Denseness and Zariski denseness of Jones braid representations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Denseness and Zariski denseness of Jones braid representations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-131272