FINE GRADINGS ON EXCEPTIONAL SIMPLE LIE SUPERALGEBRAS

DOI10.1142/S0129167X11007392zbMath1248.17008arXiv1101.5470OpenAlexW1514723147MaRDI QIDQ3110905

Cándido Martín González, Alberto Elduque, Cristina Draper Fontanals

Publication date: 16 January 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5470

zbMATH Keywords

fine gradingexceptional Lie superalgebra

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Modular Lie (super)algebras (17B50)

Related Items (11)

Group gradings on the superalgebras \(M(m,n)\), \(A(m,n)\) and \(P(n)\) ⋮ Gradings on Lie triple systems related to exceptional Lie algebras ⋮ Some properties of the family Γ of modular Lie superalgebras ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ Poisson color algebras of arbitrary degree ⋮ On Kac’s Jordan superalgebra ⋮ Rings graded by a generalized group. ⋮ Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras ⋮ Gradings and symmetries on Heisenberg type algebras ⋮ Leibniz superalgebras with a set grading ⋮ Group gradings on the Lie and Jordan superalgebrasQ(n)

Cites Work

• Fine gradings on simple classical Lie algebras
• Gradings on \(\mathfrak {g}_2\)
• Some new simple modular Lie superalgebras
• On Lie gradings. I
• The theory of Lie superalgebras. An introduction
• Gradings on octonions
• Quaternions, octonions and the forms of the exceptional simple classical Lie superalgebras
• Group Gradings onG₂
• AUTOMORPHISMS OF SIMPLE LIE SUPERALGEBRAS
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• A new construction of the Kac Jordan superalgebra
• Lie superalgebras

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