Semidirect products of representations up to homotopy
classification
🧮 math.DG
math.RT
keywords
homotopysemidirectalgebraalgebroidsproductrepresentationstringalgebras
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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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