Normal forms of nilpotent elements in semisimple Lie algebras
نویسندگان
چکیده
We find the normal form of nilpotent elements in semisimple Lie algebras that generalizes Jordan slN, using theory cyclic elements.
منابع مشابه
Cyclic elements in semisimple Lie algebras
where g±d 6= 0. The positive integer d is called the depth of this Z-grading, and of the nilpotent element e. This notion was previously studied e.g. in [P1]. An element of g of the form e+ F , where F is a non-zero element of g−d, is called a cyclic element, associated with e. In [K1] Kostant proved that any cyclic element, associated with a principal (= regular) nilpotent element e, is regula...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2021
ISSN: ['0019-3577', '1872-6100']
DOI: https://doi.org/10.1016/j.indag.2021.07.001