Gradings on Lie triple systems related to exceptional Lie algebras

DOI10.1016/j.jpaa.2012.08.007zbMath1365.17001OpenAlexW1999292609WikidataQ115345484 ScholiaQ115345484MaRDI QIDQ2376525

Cándido Martín González, Antonio Jesús Calderón Martín, Cristina Draper Fontanals

Publication date: 24 June 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.08.007

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Ternary compositions (17A40)

Related Items (3)

Gradings and symmetries on Heisenberg type algebras ⋮ On split Lie color triple systems ⋮ On split twisted inner derivation triple systems with no restrictions on their 0-root spaces

Cites Work

• Gradings on the exceptional Lie algebras \(F_4\) and \(G_2\) revisited
• Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\)
• Gradings on the Kac superalgebra
• Fine gradings on simple classical Lie algebras
• A non-computational approach to the gradings on \(\mathfrak f_4\)
• Gradings on \(\mathfrak {g}_2\)
• On Lie gradings. I
• On Lie gradings. II
• Gradings on simple Jordan and Lie algebras
• Gradings on the Albert algebra and on \(\mathfrak{f}_4\)
• FINE GRADINGS ON EXCEPTIONAL SIMPLE LIE SUPERALGEBRAS
• Group Gradings onG₂
• Fine gradings on the Lie algebra
• Gradings on the real forms of the Albert algebra, of g2, and of f4
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