Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras (with an Appendix by Andrey Krutov)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Bouarroudj, Sofiane, Grozman, Pavel, Alexei, Lebedev, Leites, Dimitry
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211911
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras (with an Appendix by Andrey Krutov). Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev and Dimitry Leites. SIGMA 19 (2023), 032, 73 pages

Over algebraically closed fields of positive characteristic, for simple Lie (super)algebras, and certain Lie (super)algebras close to simple ones, with symmetric root systems (such that for each root, there is minus it of the same multiplicity) and of ranks less than or equal to 8—most needed in an...