Pairs of semisimple Lie algebras and their maximal reductive subalgebras

DOI10.1007/S10468-007-9068-ZzbMath1163.17008OpenAlexW2034635386MaRDI QIDQ930355

Boris Širola

Publication date: 30 June 2008

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-007-9068-z

zbMATH Keywords

semisimple Lie algebrasfixed point algebraCartan subalgebrasfinite-order automorphismpairs of Lie algebrasreductive subalgebrasself-normalizing subalgebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (5)

Normalizers and self-normalizing subgroups. II. ⋮ Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras ⋮ Compatible pairs of Borel subalgebras and shared orbit pairs ⋮ On Cartan subalgebras and Cartan subspaces of nonsymmetric pairs of Lie algebras ⋮ ON CENTRALISERS AND NORMALISERS FOR GROUPS

Cites Work

• A Pieri rule for Hermitian symmetric pairs. I
• Primitive ideals and nilpotent orbits in type \(G_ 2\)
• Some structural results for nonsymmetric pairs of Lie algebras
• The unitary dual of \(G_ 2\)
• Discrete decomposability of the restriction of \(A_{{\mathfrak q}}(\lambda)\) with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties
• Geometric interpretations of two branching theorems of D.E. Littlewood.
• Automorphisms of finite order of semisimple Lie algebras
• Stable branching rules for classical symmetric pairs
• Nilpotent Orbits, Normality, and Hamiltonian Group Actions
• A Generalized Global Cartan Decomposition: A Basic Example
• Lie groups beyond an introduction
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