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math.AG2022
Elements of a Lie algebra acting nilpotently in all its representations
O. G. Styrt
An equivalent condition for an element of a Lie algebra acting nilpotently in all its representations is obtained. Namely, it should belong to the derived algebra and go via factor…
math.AG2022
Topological and homological properties of the orbit space of a simple three-dimensional compact linear Lie group
O. G. Styrt
The article is devoted to the question whether the orbit space of a compact linear group is a topological manifold and a homological manifold. In the paper, the case of a simple th…