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Results tagged with nilpotent-orbits
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user 26208
These are the adjoint orbits of a complex semisimple group lying in the nilpotent cone. Nilpotent orbits arise in algebraic geometry, symplectic geometry, and representation theory.
2
votes
Examples of Richardson orbit closures not having a symplectic resolution?
Just adding a reference to the literature where this question seems to have cropped up :
"Calculating canonical distinguished involutions in the affine Weyl groups" - Chmutova, Ostrik (pdf)
They ph …
- 1,073
2
votes
0
answers
357
views
Differential of the adjoint quotient map
My question is regarding a paper by R.W Richardson titled "Derivatives of invariant polynomials on a semisimple Lie Algebra" ** . In this paper, he reports on computations of the rank of the different …
- 1,073
3
votes
Kazhdan Lusztig map and Richardson orbits
This is a very nice line of thinking! But I think the question, as stated, is imprecise.
As is correctly pointed out in the question, the KL map takes you from nilpotent orbits in $\mathfrak{g}$ to …
- 1,073
4
votes
1
answer
355
views
Affine analog of the theory of sheets
In the study of adjoint orbits in a complex semi-simple lie algebra, there is a well known object known as a "sheet". These are the irreducible components of the union of orbits of the same dimension. …
- 1,073