The melikyan algebras as lie algebras of the type G2

DOI10.1080/00927879108824202zbMath0723.17018OpenAlexW2070890736MaRDI QIDQ3211493

Michael Kuznetsov

Publication date: 1991

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879108824202

zbMATH Keywords

simple Lie algebrasfiltered deformationsMelikyan algebrasMaximal subalgebras

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Related Items (14)

A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras ⋮ Unnamed Item ⋮ Families of simple lie algebras of characteristic two ⋮ Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\) ⋮ Filtered deformations of Lie algebras of the series \(\mathcal R\) ⋮ Automorphisms and derivations of exceptional simple Lie algebras of family \(R\) ⋮ Simple Lie algebras of small characteristic. VI: Completion of the classification ⋮ AUTOMORPHISMS OF EXCEPTIONAL SIMPLE LIE ALGEBRAS ⋮ Simple Lie algebras of small characteristic. III: The toral rank 2 case, ⋮ Tori in the Melikian algebra ⋮ New simple modular Lie superalgebras as generalized prolongs ⋮ On the existence of deformations of the Lie algebras of series \(Z\) ⋮ A realization of Cartan extensions ⋮ A quantum octonion algebra

Cites Work

• On lie algebras of contact type
• Unnamed Item

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