New examples of simple Jordan superalgebras over an arbitrary field of characteristic 0

DOI10.1090/S1061-0022-2013-01255-6zbMath1276.17018arXiv1007.2772OpenAlexW2089698638MaRDI QIDQ2849190

Viktor Nikolaevich Zhelyabin

Publication date: 17 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2772

zbMATH Keywords

Jordan superalgebraJordan superalgebra of vector typesimple Jordan superalgebra

Mathematics Subject Classification ID

Superalgebras (17A70) Super structures (17C70) Noncommutative Jordan algebras (17A15)

Related Items (10)

Embedding of Jordan superalgebras into the superalgebras of Jordan brackets ⋮ Some constructions for Jordan superalgebras with associative even part ⋮ The superalgebras of Jordan brackets defined by the \(n\)-dimensional sphere ⋮ Embedding Novikov-Poisson algebras in Novikov-Poisson algebras of vector type ⋮ Structure of some unital simple Jordan superalgebras with associative even part ⋮ \((-1, 1)\)-superalgebras of vector type: Jordan superalgebras of vector type and their universal enveloping algebras ⋮ Simple Jordan superalgebras with associative nil-semisimple even part ⋮ Jordan superalgebras of vector type and projective modules ⋮ Generalized derivations and centroids of ternary Jordan superalgebras ⋮ The coordinate ring of an \(n\)-dimensional sphere and some examples of differentially simple algebras

Cites Work

• Speciality and non-speciality of two Jordan superalgebras
• Simple Jordan superalgebras with semisimple even part.
• Classification of linearly compact simple Jordan and generalized Poisson superalgebras
• Differentiably simple rings of prime characteristic
• Graded simple Jordan superalgebras of growth one
• Differential algebras and simple Jordan superalgebras
• The component groups of nilpotents in exceptional simple real lie algebras
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• The kantor doubling process revisited
• Simple finite-dimensional Jordan superalgebras of prime characteristic
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