Fine Group Gradings of the Real Forms of sl(4,C), sp(4,C), and o(4,C)

DOI10.1063/1.2778543zbMath1152.81578arXivmath-ph/0608032OpenAlexW2006239377MaRDI QIDQ3544442

Milena Svobodová, Edita Pelantová, Jirí Patera

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0608032

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Graded Lie (super)algebras (17B70)

Related Items

Group gradings \({\mathfrak o}(8,\mathbb C)\) ⋮ Gradings on the real forms of the Albert algebra, of g2, and of f4

Cites Work

• Gradings on \(\mathfrak {g}_2\)
• A Lie grading which is not a semigroup grading
• Quantum mechanics in a discrete space-time
• On Lie gradings. I
• On Lie gradings. II
• On Lie gradings. III: Gradings of the real forms of classical Lie algebras
• Gradings on simple Jordan and Lie algebras
• Fine gradings of o(5, C), sp(4, C) and of their real forms
• Discrete and continuous graded contractions of Lie algebras and superalgebras
• Graded contractions of representations of orthogonal and symplectic Lie algebras with respect to their maximal parabolic subalgebras
• The eight fine gradings of sl(4, C) and o(6, C)
• Fine gradings of o(4,C)

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