Cornelia Vizman:
The path group construction of Lie group extensions"
Abstract:
We present an explicit realization of abelian extensions of
infinite dimensional Lie groups using abelian extensions of path groups,
by generalizing Mickelsson's approach to loop groups
and the approach of Losev-Moore-Nekrasov-Shatashvili
to current groups. We apply our method to coupled cocycles on current
Lie algebras and
to Lichnerowicz cocycles on the Lie algebra of divergence free vector
fields.