Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Bouarroudj, S., Grozman, P., Leites, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149116
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix / S. Bouarroudj, P. Grozman, D. Leites // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 54 назв. — англ.

Finite dimensional modular Lie superalgebras over algebraically closed fields with indecomposable Cartan matrices are classified under some technical, most probably inessential, hypotheses. If the Cartan matrix is invertible, the corresponding Lie superalgebra is simple otherwise the quotient of the...