Harish-Chandra homomorphism for generalized Takiff algebras

DOI10.1006/jabr.1995.1021zbMath0847.17006OpenAlexW2066141595MaRDI QIDQ1346095

François Geoffriau

Publication date: 15 October 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1021

zbMATH Keywords

centerHarish-Chandra homomorphismring of invariant functionsgeneralized Takiff algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (8)

LIE ALGEBRA MODULES WHICH ARE LOCALLY FINITE AND WITH FINITE MULTIPLICITIES OVER THE SEMISIMPLE PART ⋮ Invariant polynomials on truncated multicurrent algebras ⋮ Whittaker modules and quasi-Whittaker modules for the Euclidean Lie algebra \(\mathfrak{e}(3)\) ⋮ Generalized Takiff groups associated with a Lie group. Applications to \(\text{SL}_{2}(\mathbb{R})\) ⋮ Highest-weight theory for truncated current Lie algebras ⋮ Casimir elements and Sugawara operators for Takiff algebras ⋮ Compatibility of the Feigin-Frenkel Isomorphism and the Harish-Chandra Isomorphism for jet algebras ⋮ A bi-Hamiltonian nature of the Gaudin algebras

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