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

DOI10.1016/j.jalgebra.2009.07.004zbMath1250.17022OpenAlexW2003255292MaRDI QIDQ1048199

Steven Glenn Jackson, Alfred G. Noël

Publication date: 11 January 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.07.004

zbMATH Keywords

universal enveloping algebrasemisimple Lie groupcentralizer of a maximal compact subgroup

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35)

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• K-invariants in the universal enveloping algebra of the de Sitter group
• On the centralizer of \(K\) in the universal enveloping algebra of \(\text{SO}(n,1)\) and \(\text{SU}(n,1)\)
• Computational invariant theory
• The centralizer of a Lie algebra in an enveloping algebra.
• On the Structure of Certain Subalgebras of a Universal Enveloping Algebra
• Derr Zentralisator einer Liealgebra in einer einhüllenden Algebra.
• Examples of invariant theory associated with
• Orbits and Representations Associated with Symmetric Spaces
• Algebraic Results on Representations of Semisimple Lie Groups
• On the Determination of Irreducible Modules by Restriction to a Subalgebra