The minimal nilpotent orbit, the Joseph ideal, and differential operators

DOI10.1016/0021-8693(88)90231-1zbMath0656.17009OpenAlexW2081597821MaRDI QIDQ1109864

Thierry Levasseur, S. Paul. Smith, J. Toby Stafford

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90231-1

zbMATH Keywords

universal enveloping algebrasimple Lie algebraNoetherian ringGel'fand-Kirillov dimensionring of differential operatorsminimal nilpotent orbitsimple ringJoseph idealkernel of a \({\mathbb{C}}\)-algebra homomorphismprime primitive ideal

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Simple, semisimple, reductive (super)algebras (17B20) Noetherian rings and modules (associative rings and algebras) (16P40) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Notes on higher-spin algebras: minimal representations and structure constants, Annihilators and associated varieties of unitary highest weight modules, A surjectivity theorem for rigid highest weight modules, Kirillov-Duflo orbit method and minimal representations of simple groups over a local field of characteristic zero, Universal formula for the Hilbert series of minimal nilpotent orbits, Actions of tori on weyl algebras, Unnamed Item, Higher symmetries of powers of the Laplacian and rings of differential operators, Polynomial Solutions to Constant Coefficient Differential Equations, Weighted projective spaces and minimal nilpotent orbits, Overrings of primitive factor rings of \(U(sl(2,\mathbb{C}))\), On the isomorphism problem for the rings of differential operators on smooth affine varieties

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