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Results tagged with lie-groups
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user 9417
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
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What is the Schouten bracket for the Chevalley-Eilenberg complex with coefficients in a nont...
Let $\mathfrak g$ be a Lie algebra. The Chevalley-Eilenberg complex is defined to be $\wedge^* \mathfrak g$ with differential $d\colon \wedge^* \mathfrak g\to \wedge^{*-1}\mathfrak g$ defined by $$d(a …
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What is the Schouten bracket for the Chevalley-Eilenberg complex with coefficients in a nont...
Theo Johnson-Freyd:
A truly terrible way to get at this bracket is as follows. If $g$ acts on $M$, then it also acts on the dual space $M^*$, which you should think of as a geometric space, and so …