Universal representations of braid and braid-permutation groups

Details Universal representations of braid and braid-permutation groups Universal representations of braid and braid-permutation groups

2007-08-04

arxiv.org/abs/0708.0634v2

J. Knot Theory Ramif. 18 (2009), no.7, 999-1019

Mathematics

Group Theory

19 pages, references added

Scientific paper

Drinfel'd used associators to construct families of universal representations of braid groups. We consider semi-associators (i.e., we drop the pentagonal axiom and impose a normalization in degree one). We show that the process may be reversed, to obtain semi-associators from universal representations of 3-braids. We view braid groups as subgroups of braid-permutation groups. We construct a family of universal representations of braid-permutation groups, without using associators. All representations in the family are faithful, defined over $\bbQ$ by simple explicit formulae. We show that they give universal Vassiliev-type invariants for braid-permutation groups.

Affiliated with

Also associated with

No associations

Rating

Universal representations of braid and braid-permutation groups 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 Universal representations of braid and braid-permutation groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal representations of braid and braid-permutation groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500298