Direct determination of the Langlands decompositions for the parabolic subalgebras of noncompact semisimple real Lie algebras

DOI10.1063/1.524122zbMath0413.17006OpenAlexW2039068453MaRDI QIDQ4200211

J. F. Cornwell

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524122

zbMATH Keywords

automorphismCartan subalgebrasLanglands decompositionsparabolic subalgebras of noncompact semisimple real Lie algebras

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

The complete root systems of the affine Kac–Moody superalgebras ⋮ Satake diagrams and Iwasawa decomposition of twisted Kac–Moody algebras ⋮ Iwasawa decomposition of affine Kac–Moody algebras using Satake diagrams ⋮ Involutive automorphisms and Iwasawa decomposition of some hyperbolic Kac–Moody algebras ⋮ Nonlinear equations with superposition formulas and the exceptional group G2. I. Complex and real forms of g2 and their maximal subalgebras ⋮ Geometric quantization and representations of semisimple Lie groups: spin (2,1) and spin (2,2) ⋮ Satake diagrams, Iwasawa decompositions, and representations of the exceptional Lie group F4(−20)

Cites Work

• Lie algebra bases for the pseudo-orthogonal groups
• Conjugate classes of Cartan subalgebras in real semisimple Lie algebras
• Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. I
• On some types of topological groups
• Direct determination of the Iwasawa decomposition for noncompact semisimple Lie algebras
• Infinite-dimensional group representations
• On the Contraction of Groups and Their Representations
• On the Group of Transformations in Six-dimensional Space, II