On the Intersection of Maximal Subalgebras in a Lie Superalgebra

DOI10.1142/S1005386709000479zbMath1235.17009WikidataQ115245047 ScholiaQ115245047MaRDI QIDQ5322275

Liangyun Chen, Dao Ji Meng

Publication date: 20 July 2009

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

Full work available at URL: http://www.worldscinet.com/ac/16/1603/S1005386709000479.html

zbMATH Keywords

Lie superalgebraFrattini subalgebraelementary Lie superalgebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Modular Lie (super)algebras (17B50)

Related Items (8)

On capability and the Schur multiplier of some nilpotent Lie superalgebras ⋮ The Frattini \(p\)-subsystem of a solvable restricted Lie triple system ⋮ Some subsystems of a Lie triple system closely related to its Frattini subsystem ⋮ Some studies on central derivation of nilpotent Lie superalgebra ⋮ Unnamed Item ⋮ Multipliers of nilpotent Lie superalgebras ⋮ Some properties of isoclinism in Lie superalgebras ⋮ Some necessary and sufficient conditions for nilpotent n-Lie superalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• The Frattini subgroup of a \(p\)-group
• On maximal subalgebras of central simple Malcev algebras
• Intersections of maximal subalgebras in Lie algebras
• On the Frattini subalgebra of a Malcev algebra
• The theory of Lie superalgebras. An introduction
• Primitive superalgebras with superinvolution
• Maximal subalgebras of simple modular Lie algebras
• Maximal subalgebras of associative superalgebras.
• Elementary Lie algebras and Lie \(A\)-algebras
• The Frattini subalgebra of restricted Lie superalgebras
• Frattini subgroups and \(\Phi\)-central groups
• On the theory of soluble Lie algebras
• On the cohomology of soluble Lie algebras
• Some theorems on saturated homomorphs of soluble Lie algebras
• The Frattini argument for Lie algebras
• Nilpotency of Lie algebras
• The Frattini subalgebra of \(n\)-Lie algebras
• On the Frattini Subalgebra of a Lie Algebra
• Lie superalgebras
• On maximal subalgebras

This page was built for publication: On the Intersection of Maximal Subalgebras in a Lie Superalgebra