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8.13 (1982)

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Let $G$ be a simple algebraic group over an algebraically closed field of characteristic $p$ and $\mathfrak{g}$ be the Lie algebra of $G$. Is the number of orbits of nilpotent elements of $\mathfrak{g}$ under the adjoint action of $G$ finite?

Contributor: R. W. Carter

Progress

Yes, it is (D. F. Holt, N. Spaltenstein, J. Austral. Math. Soc. (A), 38 (1985), 330–350).

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