Braid group

The n-th braid group consist of all different ways n strings can be braided. The generators are all the over-crossings and under-crossings of neighbouring strings. They can be also imagined as world lines of n particles in 2 dimensions which changes its order.


The generators σi + 1 and σi − 1:

Image:braid.jpg And the transformation like: Image:knot.jpg is not a braid.


The braid group plays key-role in the topological computing.

Category:Mathematical Structure Category:Models of Quantum Computation

Last modified: 

Monday, October 26, 2015 - 17:37