Deformations of symmetric simple modular Lie (super)algebras

DOI10.3842/sigma.2023.031zbMath1529.17031arXiv0807.3054OpenAlexW4378715328MaRDI QIDQ6115277

Pavel Grozman, Dimitry Leites, Sofiane Bouarroudj

Publication date: 12 July 2023

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3054

zbMATH Keywords

Cartan matrixintegrabilityLie algebraLie superalgebrarootsimple Lie algebramodular Lie superalgebrainfinitesimal deformationsimple Lie superalgebramodular Lie algebrasymmetric Lie algebraqueerificationsuperizationcohomology with trivial coefficientssecond adjoint cohomologysymmetric Lie superalgebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Exceptional (super)algebras (17B25) Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Related Items (3)

Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras ⋮ Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov) ⋮ Unnamed Item

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