On topologies on Lie braid groups

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 $R^3$ and to groups of symplectomorphisms of coadjoint orbits of SU(n).

20pp

Cited by in corpus (2)

• Topological groups and invariant measures
• On algebras of double cosets of symmetric groups with respect to Young subgroups