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arXiv 2013-04-18 0 views

The group structure for jet bundles over Lie groups

Vizman, Cornelia

Original · EN

The jet bundle JᵏG of k-jets of curves in a Lie group G has a natural Lie group structure. We present an explicit formula for the group multiplication in the right trivialization and for the group 2-cocycle describing the abelian Lie group extension g→ JᵏG→ Jᵏ⁻¹G.

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