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Higher Lie algebra actions on Lie algebroids
Lie algebroid NQ-manifold double Lie algebroid higher Lie algebra action
2011/1/17
We consider a simple instance of action up to homotopy. More precisely, we consider non-strict actions of DGLAs in degrees −1 and 0 on degree 1 NQ-manifolds. In a more conventional language this...
Adjoint orbit types of compact exceptional Lie group G2 in its Lie algebra
exceptional Lie group G2 Lie algebra
2010/11/8
A Lie group $G$ naturally acts on its Lie algebra $\gg$, called the adjoint action. In this paper, we determine the orbit types of the compact exceptional Lie group $G_2$ in its Lie algebra $\gg_2$. ...