Questions tagged [slodowy-slice]

Question By Slodowy slice I mean a transverse slice at a subregular nilpotent orbit in a simple Lie algebra $\mathfrak{g}$ (in particular I am not intersecting with the nilpotent cone). Consider the ...

I would like to know why people are interested in transverse slices. In particular, I would like to know why people study the Slodowy slice to orbits in the nilpotent cone. In Chriss and Ginzburg's ...

My question is about an isomorphism between two varieties of the form discussed in this thread; it is also related to an earlier question of mine. Let $z_n$ be the standard nilpotent of type $(n,n)$. ...

I recently learned that there is a natural identification, given a simple Lie algebra, Polynomial functions on the Slodowy slice of a regular nilpotent orbit $\simeq$ polynomial functions on the ...

Let $G$ be your favorite simple complex Lie group, and $P\subset G$ your favorite parabolic subgroup. We can identify $T^*G/P$ with the space of pairs $$\{(gP,x)\in G/P\times \mathfrak g | x\perp \...