The orbit-method tag has no usage guidance.

**2**

votes

**0**answers

109 views

### A representation similar to coadjoint representation?

In a project of quantization, I come up with a finite dimensional representation of $so(d)$ that I wish to find some decent references for it. I guess it could have been studied thoroughly in ...

**2**

votes

**0**answers

31 views

### When does a symmetric Poisson manifold decompose into homogeneous pieces?

When people study representations, they pay a lot of attention to the irreducible ones. This is justified by the fact that, roughly speaking, every unitary representation decomposes into a direct ...

**4**

votes

**2**answers

365 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

**0**answers

196 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 ...

**8**

votes

**4**answers

1k 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 ...