The index of centralizers of elements in classical Lie algebras

DOI10.1007/s10688-006-0005-4zbMath1152.17001OpenAlexW2015479653MaRDI QIDQ2498307

Oksana S. Yakimova

Publication date: 16 August 2006

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-006-0005-4

zbMATH Keywords

nilpotent elementcoadjoint representationclassical Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Coadjoint orbits; nilpotent varieties (17B08)

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Cites Work

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• Index and stable linear forms in Lie algebras.
• Some amazing properties of spherical nilpotent orbits
• An extension of Raïs' theorem and seaweed subalgebras of simple Lie algebras.
• Canonical form and stationary subalgebras of points of general position for simple linear Lie groups
• A note on commuting pairs of matrices
• The index of a Lie algebra, the centralizer of a nilpotent element, and the normalizer of the centralizer
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