A new construction of the Kac Jordan superalgebra

DOI10.1090/S0002-9939-02-06466-3zbMath1083.17014MaRDI QIDQ4539838

Alberto Elduque, Georgia M. Benkart

Publication date: 11 July 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

simple Jordan superalgebras

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Super structures (17C70)

Related Items (11)

The splittest Kac superalgebra \(K_{10}\) ⋮ Classification of linearly compact simple Jordan and generalized Poisson superalgebras ⋮ Gradings on the Kac superalgebra ⋮ Lie antialgebras: Prémices ⋮ On Hom-Lie antialgebra ⋮ On Kac’s Jordan superalgebra ⋮ Maximal subalgebras of Jordan superalgebras ⋮ Simple graded commutative algebras. ⋮ The Kac Jordan superalgebra: automorphisms and maximal subalgebras ⋮ FINE GRADINGS ON EXCEPTIONAL SIMPLE LIE SUPERALGEBRAS ⋮ An octonionic construction of the Kac superalgebra K$_{10}$

Cites Work

• Representations of an exceptional Jordan superalgebra
• On some algebras related to simple Lie triple systems
• Kaplansky superalgebras
• Simple Jordan superalgebras with semisimple even part.
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• Submodules of Quaternion Algebras

This page was built for publication: A new construction of the Kac Jordan superalgebra