K-invariants in the universal enveloping algebra of the de Sitter group

DOI10.1007/BF01169080zbMath0636.17004OpenAlexW2072227659MaRDI QIDQ1097952

Juan Tirao, Alfredo Brega

Publication date: 1987

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155208

zbMATH Keywords

universal enveloping algebrasinvariantsirreducible representationsprincipal series representationsde Sitter group

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

A new approach to computing generators for \(\mathcal U(\mathfrak g)^K\)

Cites Work

• On irreducible representations of the Lorentz group of $n$-th order
• On the Structure of Certain Subalgebras of a Universal Enveloping Algebra
• Algebraic Results on Representations of Semisimple Lie Groups
• On the Determination of Irreducible Modules by Restriction to a Subalgebra
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