Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• Main Author: Kosakowska, J.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153372
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras / J. Kosakowska // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 49–79. — Бібліогр.: 15 назв. — англ.

We define and investigate Lie algebras associated with quadratic forms. We also present their connections with Lie algebras and Ringel-Hall algebras associated with representation directed algebras.