Group Gradings onG2

DOI10.1080/00927870802278529zbMath1190.17005arXivmath/0703468OpenAlexW1991988774MaRDI QIDQ3619830

M. V. Tvalavadze, Yu. A. Bakhturin

Publication date: 9 April 2009

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

Full work available at URL: https://arxiv.org/abs/math/0703468

zbMATH Keywords

graded Lie algebrassimple Lie algebras

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Graded Lie (super)algebras (17B70)

Related Items (23)

On the structure of graded 3-Leibniz algebras ⋮ Gradings on Lie triple systems related to exceptional Lie algebras ⋮ Gradings on symmetric composition algebras ⋮ Gradings on the Albert algebra and on \(\mathfrak{f}_4\) ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ On groupoid gradings ⋮ Cohomolgies of Rota-Baxter operators on Lie superalgebras and some classifications on Witt superalgebras ⋮ Fine gradings on simple classical Lie algebras ⋮ Lie algebras with a set grading ⋮ A non-computational approach to the gradings on \(\mathfrak f_4\) ⋮ Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras ⋮ Orthogonal-gradings on \(H^*\)-algebras ⋮ ON THE STRUCTURE OF GRADED LIE SUPERALGEBRAS ⋮ Gradings and symmetries on Heisenberg type algebras ⋮ On the structure of graded Lie algebras ⋮ Fine gradings on the Lie algebra ⋮ Hom-Lie algebras with a set grading ⋮ Lie superalgebras with a set grading ⋮ An overview of ne gradings on simple Lie algebras ⋮ FINE GRADINGS ON EXCEPTIONAL SIMPLE LIE SUPERALGEBRAS ⋮ On the Structure of Graded Leibniz Algebras ⋮ Gradings on the real forms of the Albert algebra, of g2, and of f4 ⋮ Fine gradings and gradings by root systems on simple Lie algebras

Cites Work

• Unnamed Item
• Gradings on \(\mathfrak {g}_2\)
• On Lie gradings. I
• Gradings on octonions
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Gradings on simple Jordan and Lie algebras
• Involutions on graded matrix algebras.
• Group Gradings on Matrix Algebras
• Group gradings on associative algebras

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