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3
votes
2answers
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Malcev Lie algebra and associated graded Lie algebra

Suppose $L$ is a nilpotent finite-dimensional Lie algebra over $\mathbb{Q}$ of class $c$. We can define an associated graded Lie algebra to $L$ that, as a vector space, is: $$\bigoplus_{i=1}^c ...
3
votes
3answers
464 views

About $G$-modules versus $Lie(G)$-modules for algebraic groups

Hello, I would like to know clear references about the following facts: Let $G$ be a connected algebraic group (over alg. closed field in char. 0), $Lie(G)$ its Lie algebra, $M$ a $G$-module. I ...
7
votes
2answers
639 views

Does there exist a complex Lie group G such that …

... every Riemann surface of genus $1$ appears as a complex one-parameter subgroup of $G$?