Coadjoint Orbits of Lie Algebras and Cartan Class

We study the coadjoint orbits of a Lie algebra in terms of Cartan class. In fact, the tangent space to a coadjoint orbit O(α) at the point α corresponds to the characteristic space associated with the left invariant form α, and its dimension is the even part of the Cartan class of α. We apply this r...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2019
Main Authors: Goze, M., Remm, E.
Format: Article
Language:English
Published: Інститут математики НАН України 2019
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210073
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Coadjoint Orbits of Lie Algebras and Cartan Class / M. Goze, E. Remm // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 27 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine