Lichnerowicz cocycles and central Lie group extensions

Details Lichnerowicz cocycles and central Lie group extensions Lichnerowicz cocycles and central Lie group extensions

2010-07-31

arxiv.org/abs/1008.0106v1

Analele Univ. de Vest Timisoara Ser. Mat.-Info. XLVIII (2010) 285-297

Mathematics

Differential Geometry

10 pages

Scientific paper

We present a geometric construction of central extensions of covering groups
of the group of volume preserving diffeomorphisms, integrating central
extensions of the Lie algebra of divergence free vector fields defined by
Lichnerowicz cocycles. Certain covering spaces of non-linear Grassmannians can
be realized as prequantizable coadjoint orbits in these Lie group extensions.

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