Simple Vectorial Lie Algebras in Characteristic 2 and their Superizations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Bouarroudj, Sofiane, Grozman, Pavel, Lebedev, Alexei, Leites, Dimitry, Shchepochkina, Irina
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210759
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Simple Vectorial Lie Algebras in Characteristic 2 and their Superizations. Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev, Dimitry Leites and Irina Shchepochkina. SIGMA 16 (2020), 089, 101 pages

We overview the classifications of simple finite-dimensional modular Lie algebras. In characteristic 2, their list is wider than that in other characteristics; e.g., it contains desuperizations of modular analogs of complex simple vectorial Lie superalgebras. We consider odd parameters of deformatio...