On the structure of graded Lie algebras

DOI10.1063/1.3226779zbMath1275.17043OpenAlexW2000079706MaRDI QIDQ3583652

Antonio Jesús Calderón Martín

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3226779

zbMATH Keywords

symmetrygraded Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Root systems (17B22)

Related Items

On the structure of graded Lie algebras of order 3, On the structure of graded 3-Leibniz algebras, On extended graded Poisson algebras, Gradings, braidings, representations, paraparticles: some open problems, On arbitrarily graded rings, On the structure of graded Hilbert spaces, Graded Lie-Rinehart algebras, Cohomolgies of Rota-Baxter operators on Lie superalgebras and some classifications on Witt superalgebras, On graded associative algebras., Poisson color algebras of arbitrary degree, On the structure of graded commutative algebras, Lie algebras with a set grading, Associative algebras admitting a quasi-multiplicative basis., ON THE STRUCTURE OF GRADED LIE SUPERALGEBRAS, Leibniz algebras admitting a multiplicative basis, \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis, On the structure of graded Leibniz triple systems, Hom-Lie algebras with a set grading, Lie superalgebras with a set grading, On the Structure of Graded Leibniz Algebras, Leibniz superalgebras with a set grading

Cites Work

• Gradings on \(\mathfrak {g}_2\)
• On split Lie algebras with symmetric root systems
• On Lie gradings. II
• On Lie gradings. III: Gradings of the real forms of classical Lie algebras
• Gradings on simple Jordan and Lie algebras
• The structure of locally finite split Lie algebras
• Hilbert Space Methods in the Theory of Lie Algebras
• Cartan Decompositions for L ∗ -Algebras
• Group Gradings onG₂
• Structure theory for L*-algebras
• Automorphisms of the fine grading of sl(n,C) associated with the generalized Pauli matrices
• The eight fine gradings of sl(4, C) and o(6, C)