Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov)
DOI10.3842/sigma.2023.032zbMath1529.17030arXiv1307.1858OpenAlexW1742703507MaRDI QIDQ6115278
Sofiane Bouarroudj, Alexei Lebedev, Dimitry Leites, Pavel Grozman
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/1307.1858
Cartan matrixLie algebraLie superalgebraderivationrootsimple Lie algebracentral extensionmodular Lie superalgebrasimple Lie superalgebramodular Lie algebrasymmetric Lie algebraqueerificationsuperizationfirst adjoint cohomologysecond cohomology with trivial coefficientssymmetric Lie superalgebra
Structure theory for Lie algebras and superalgebras (17B05) Exceptional (super)algebras (17B25) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)
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