On topologies on Lie braid groups

Mathematics – Representation Theory

Scientific paper

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20pp

Scientific paper

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 $SU(n)$.

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