Deformations of Symmetric Simple Modular Lie (Super)Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Bouarroudj, Sofiane, Grozman, Pavel, Leites, Dimitry
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211912
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Deformations of Symmetric Simple Modular Lie (Super)Algebras. Sofiane Bouarroudj, Pavel Grozman and Dimitry Leites. SIGMA 19 (2023), 031, 66 pages

We say that a Lie (super)algebra is ''symmetric'' if, with every root (with respect to the maximal torus) it has the opposite root of the same multiplicity. Over algebraically closed fields of positive characteristics (up to 7 or 11, enough to formulate a general conjecture), we...