Second cohomology group of the finite-dimensional simple Jordan superalgebra 𝒟t, t≠0

DOI10.1142/S0219498822500918MaRDI QIDQ5070893

F. A. Gómez-González, J. A. Ramírez Bermúdez

Publication date: 14 April 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10408

zbMATH Keywords

decomposition theoremJordan superalgebrasecond cohomology groupWedderburn principal theoremsplit null extensionregular superbimodule

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Superalgebras (17A70) Super structures (17C70)

Related Items (2)

Rota-Baxter operators on the simple Jordan superalgebra \(D_t \) ⋮ A decomposition theorem for finite-dimensional Jordan superalgebras whose simple part is \(\mathfrak{K}\mathrm{an}(2)\)

Cites Work

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• The Wedderburn decomposition in finite-dimensional alternative superalgebras
• Cohomologies of finite-dimensional simple alternative superalgebras of characteristic 3
• Wedderburn principal theorem for Jordan superalgebras. I
• The structure of alternative superbimodules
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• The Wedderburn decomposition in finite-dimensional alternative superaigebras of characteristic 3
• Representation theory of Jordan superalgebras I
• Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem (WPT)
• Unital bimodules over the simple Jordan superalgebra 𝐷(𝑡)
• Jordan Superalgebras of Type and the Wedderburn Principal Theorem (WPT)

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