Fine gradings of o(5, C), sp(4, C) and of their real forms

DOI10.1063/1.1383788zbMath1032.17050OpenAlexW2064295998MaRDI QIDQ2775001

Milena Svobodová, Edita Pelantová, Jirí Patera

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1383788

zbMATH Keywords

real formsfine gradings

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (7)

The eight fine gradings of sl(4, C) and o(6, C) ⋮ Fine gradings of o(4,C) ⋮ Fine Group Gradings of the Real Forms of sl(4,C), sp(4,C), and o(4,C) ⋮ COUNTING FINE GRADINGS ON MATRIX ALGEBRAS AND ON CLASSICAL SIMPLE LIE ALGEBRAS ⋮ Fine gradings on the Lie algebra ⋮ Group gradings \({\mathfrak o}(8,\mathbb C)\) ⋮ Gradings on the real forms of the Albert algebra, of g2, and of f4

Cites Work

• The construction of solvable Lie algebras from equidimensional nilpotent algebras
• On Lie gradings. I
• On Lie gradings. II
• On Lie gradings. III: Gradings of the real forms of classical Lie algebras
• Discrete and continuous graded contractions of Lie algebras and superalgebras
• The Demazure–Tits subgroup of a simple Lie group
• Discrete and continuous graded contractions of representations of Lie algebras
• Grading refinements in the contractions of Lie algebras and their invariants
• Graded contractions of representations of orthogonal and symplectic Lie algebras with respect to their maximal parabolic subalgebras
• General charge conjugation operators in simple Lie groups

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