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2 results for “LA-groups”

Remarks on the structure and integrability of LA-groupsmath.DG

Identifies LA-groups via VB-group structure and complementary actions.

problem Understanding the structure and integrability of LA-groups.

method Identifies LA-groups via VB-group structure and complementary actions up to homotopy.

result Establishes an equivalence between LA-groups and LA-matched pairs.

LA-groups VB-group Lie algebroid homotopy integrability

2026-03-16abs ↗pdf ↗

Higher Lie algebra actions on Lie algebroidsmath.DG

We consider a simple instance of action up to homotopy. More precisely, we consider strict actions of DGLAs in degrees -1 and 0 on degree 1 NQ-manifolds. In a more conventional language this means: strict actions of Lie algebra crossed modules on Lie algebroids. When the action is strict, we show that it integrates to …

2010-12-02abs ↗pdf ↗