Coadjoint Orbits of Lie Algebras and Cartan Class

• 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
• 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.

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...