Primitive ideals and nilpotent orbits in type \(G_ 2\)

DOI10.1016/0021-8693(88)90214-1zbMath0644.17005OpenAlexW2151680788MaRDI QIDQ1102363

Thierry Levasseur, S. Paul. Smith

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)90214-1

zbMATH Keywords

enveloping algebravarietyprimitive idealsJoseph idealnilpotent orbit of dimension 8simple Lie algebra of type \(G_ 2\)

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Simple, semisimple, reductive (super)algebras (17B20) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Sheets in symmetric Lie algebras and slice induction, On the coordinate ring of spherical conjugacy classes., Generic singularities of nilpotent orbit closures, The minimal nilpotent orbit, the Joseph ideal, and differential operators, A surjectivity theorem for rigid highest weight modules, Nilpotent orbits, normality,\\ and Hamiltonian group actions, On the irreducibility of associated varieties of \(W\)-algebras, A branching law for \(Spin(7,{\mathbb{C}})\to G_ 2\) and its applications to unipotent representations, Normality of nilpotent varieties in \(E_{6}\)., Normalizers and self-normalizing subgroups. II., Pairs of semisimple Lie algebras and their maximal reductive subalgebras, Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras, Compatible pairs of Borel subalgebras and shared orbit pairs, A characterization of nilpotent orbit closures among symplectic singularities, Multiplicity-free primitive ideals associated with rigid nilpotent orbits, Real structures on nilpotent orbit closures, Going up for enveloping algebras of Lie algebras, Closures of conjugacy classes in \(G_2\), On quantization of a nilpotent orbit closure in $G_2$, A Generalized Global Cartan Decomposition: A Basic Example, On Cartan subalgebras and Cartan subspaces of nonsymmetric pairs of Lie algebras, Singularities of closures of \(B\)-conjugacy classes of nilpotent elements of height 2, ON CENTRALISERS AND NORMALISERS FOR GROUPS, The unitary dual of \(G_ 2\)

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