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4
votes
2answers
249 views

classification for coadjoint orbits of lower or upper triangular matrices

Is there any classification for coadjoint orbits of lower or upper triangular matrices in general case $n\times n$. Is there any reference?
2
votes
0answers
177 views

Is there algebraic structure (manifold, stack …) on the SET of irreducible representation of algebraic group ?

Consider algebraic group G over some field "k". Consider the SET of all its complex irreducible representations (I think I need unitary also). Question Is there some way to put algebraic structure ...
7
votes
4answers
856 views

Geometric interpretation of Universal enveloping algebras

Given a complex Lie algebra $\mathfrak g$, we can form its universal enveloping algebra and interpret it as a noncommutative space. Is this perspective useful? What does this space "look like"? How ...