Final published version
Licence: Other
Research output: Contribution to Journal/Magazine › Journal article › peer-review
| <mark>Journal publication date</mark> | 15/10/2004 |
|---|---|
| <mark>Journal</mark> | Journal of Algebra |
| Issue number | 2 |
| Volume | 280 |
| Number of pages | 19 |
| Pages (from-to) | 719-737 |
| Publication Status | Published |
| <mark>Original language</mark> | English |
Let G be a simple algebraic group over k = ℂ, or F̄p where p is good. Set g = Lie G. Given r ∈ ℕ and a faithful (restricted) representation ρ: g → gl(V), one can define a variety of nilpotent elements Nr,ρ(g) = {x ∈ g: ρ(x)r = 0}. In this paper we determine this variety when ρ is an irreducible representation of minimal dimension or the adjoint representation.