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Principal nilpotent pairs in a semisimple Lie algebra 1

✍ Scribed by Victor Ginzburg

Publisher
Springer-Verlag
Year
2000
Tongue
English
Weight
489 KB
Volume
140
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES

On linear subspaces of nilpotent element
On linear subspaces of nilpotent elements in a Lie algebra
✍ Roy Meshulam; Nizar Radwan πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 235 KB

Let 9 be a complex semi-simple Lie algebra. Extending a result of Gerstenhaber on spaces of nilpotent matrices, it is shown that if W c g is a linear subspace of ad nilpotent elements then dim W < i( dim.g -rank g). Similarly, it is shown that the maximal dimension of a linear space of symmetric nil