Questions tagged [nilpotent-cone]

The tag has no usage guidance.

3 questions with no upvoted or accepted answers
Filter by
Sorted by
Tagged with
9 votes
0 answers
492 views

Naive question about classification of unipotent character sheaves

Let $G$ be a connected reductive algebraic group over (say) $\mathbb{C}$. The set $\hat{G}_u$ of isomorphism classes of unipotent irreducible character sheaves has some complicated classification in ...
Sasha's user avatar
  • 5,492
7 votes
0 answers
187 views

Divisibility of all entries in an intersection form

What are situations where one can conclude that all entries of an intersection form are divisible by a fixed integer? More precisely: $F \subset S$ is a proper connected (usually reducible) half-...
Geordie Williamson's user avatar
4 votes
0 answers
104 views

When does the null-cone consist entirely of eigenvectors?

Let $V$ be a finite-dimensional representation of a complex reductive Lie algebra $\mathfrak g$. For our purposes, we may define the null-cone like this: $v\in V$ belongs to the null-cone if and only ...
მამუკა ჯიბლაძე's user avatar