A note on strongly split Lie algebras

• Date: 2018
• Main Authors: Calderón, Martín A. J., Кальдерон, Мартін А. Дж.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1611
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Split Lie algebras are maybe the most known examples of graded Lie algebras. Since an important category in the class of graded algebras is the category of strongly graded algebras, we introduce, in a natural way, the category of strongly split Lie algebras $L$ and show that if $L$ is centerless, th...