Gelfand-Fuchs cohomology of invariant formal vector fields

Details Gelfand-Fuchs cohomology of invariant formal vector fields Gelfand-Fuchs cohomology of invariant formal vector fields

2006-07-23

arxiv.org/abs/math/0607582v1

Mathematics

Representation Theory

20 pages

Scientific paper

Let $\Gamma$ be a finite group acting linearly on a vector space $V$. We
compute the Lie algebra cohomology of the Lie algebra of $\Gamma$-invariant
formal vector fields on $V$. We use this computation to define characteristic
classes for foliations on orbifolds.

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