Index of parabolic and seaweed subalgebras of \(\mathfrak{sn}_n\)

DOI10.1016/S0024-3795(03)00552-4zbMath1056.17009MaRDI QIDQ1414156

Alexander Dvorsky

Publication date: 19 November 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Frobenius Lie algebraLie algebra indexParabolic subalgebrasSeaweed subalgebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

On seaweed subalgebras and meander graphs in type D ⋮ Combinatorial index formulas for Lie algebras of seaweed type ⋮ Quasi-reductive (bi)parabolic subalgebras in reductive Lie algebras ⋮ Reduction by stages and the Raïs-type formula for the index of a Lie algebra with an ideal ⋮ Quasi-reductive Lie algebras ⋮ An extension of Raïs' theorem and seaweed subalgebras of simple Lie algebras.

Cites Work

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• On frobenius lie algebras
• Unitary representations of maximal parabolic subgroups of the classical groups
• Generic representations of parabolic subgroups. Case I - SO(2n,C)