Semidirect products of representations up to homotopy

Details Semidirect products of representations up to homotopy Semidirect products of representations up to homotopy

2009-10-12

arxiv.org/abs/0910.2147v1

Pacific J. Math. 249:1 (2011), 211-236

Mathematics

Differential Geometry

22 pages

Scientific paper

We study the semidirect product of a Lie algebra with a representation up to
homotopy and provide various examples coming from Courant algebroids, string
Lie 2-algebras, and omni-Lie algebroids. In the end, we study the semidirect
product of a Lie group with a representation up to homotopy and use it to give
an integration of a certain string Lie 2-algebra.

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