English

On topologies on Lie braid groups

Representation Theory 2021-06-24 v2

Abstract

We discuss groups corresponding to Kohno Lie algebra of infinitesimal braids and actions of such groups. We construct homomorphisms of Lie braid groups to the group of symplectomorphisms of the space of point configurations in R3R^3 and to groups of symplectomorphisms of coadjoint orbits of SU(n).

Keywords

Cite

@article{arxiv.1006.1101,
  title  = {On topologies on Lie braid groups},
  author = {Yury A. Neretin},
  journal= {arXiv preprint arXiv:1006.1101},
  year   = {2021}
}

Comments

20pp

R2 v1 2026-06-21T15:32:30.167Z