The eight fine gradings of sl(4, C) and o(6, C)

DOI10.1063/1.1508434zbMath1060.17016OpenAlexW2062674823MaRDI QIDQ4832861

Milena Svobodová, Edita Pelantová, Jirí Patera

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1508434

Mathematics Subject Classification ID

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

Related Items (11)

On the structure of graded Lie algebras of order 3 ⋮ Gradings on \(\mathfrak {g}_2\) ⋮ Gradings on the Albert algebra and on \(\mathfrak{f}_4\) ⋮ Fine gradings of o(4,C) ⋮ Fine gradings on simple classical Lie algebras ⋮ Fine Group Gradings of the Real Forms of sl(4,C), sp(4,C), and o(4,C) ⋮ Gradings on simple Jordan and Lie algebras ⋮ On the structure of graded Lie algebras ⋮ COUNTING FINE GRADINGS ON MATRIX ALGEBRAS AND ON CLASSICAL SIMPLE LIE ALGEBRAS ⋮ Fine gradings on the Lie algebra ⋮ Group gradings \({\mathfrak o}(8,\mathbb C)\)

Cites Work

• On Lie gradings. I
• On Lie gradings. II
• On Lie gradings. III: Gradings of the real forms of classical Lie algebras
• Fine gradings of o(5, C), sp(4, C) and of their real forms
• The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type A n−1
• Congruence number, a generalization of SU(3) triality
• Graded contractions of representations of orthogonal and symplectic Lie algebras with respect to their maximal parabolic subalgebras

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