Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Author: Svobodová, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149045
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms / M. Svobodová // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 26 назв. — англ.

In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important not only for investigating the structural properties of the algebras, but, on top of that, the fine gradings are often used as the starting point for studying graded contractions or deformations of t...