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math.RT2002★ 7 cited
Abelian ideals of a Borel subalgebra and long positive roots
Dmitri I. Panyushev
Let $\b$ be a Borel subalgebra of a simple Lie algebra $\g$ and let $\Ab$ denote the set of all Abelian ideals of $\b$. We consider $\Ab$ as poset with respect to inclusion, the ze…
math.AG2002★ 1 cited
Some amazing properties of spherical nilpotent orbits
Dmitri I. Panyushev
Let $\g$ be simple Lie algebra. We give a conceptual proof for the fact that the nilpotent orbits of height 3 are spherical. It is shown that if the highest root of $\g$ is fundame…