Differential operators and actions of Lie algebroids

Details Differential operators and actions of Lie algebroids Differential operators and actions of Lie algebroids

2002-09-25

arxiv.org/abs/math/0209337v2

Mathematics

Differential Geometry

21 pages. To appear in `Quantization, Poisson brackets and beyond', proceedings of a conference at UMIST (UK) in July 2001, ed

Scientific paper

We demonstrate that the notions of derivative representation of a Lie algebra on a vector bundle, of semi-linear representations of a Lie group on a vector bundle, and related concepts, may be understood in terms of representations of Lie algebroids and Lie groupoids, and we indicate how these notions extend to derivative representations of Lie algebroids and semi-linear representations of Lie groupoids in general.

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