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 ...
Is there any classification for coadjoint orbits of lower or upper triangular matrices in general case $n\times n$. Is there any reference?
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 ...
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 ...