Uniqueness of Joseph ideal

DOI10.4310/MRL.2004.v11.n5.a4zbMath1112.17014OpenAlexW2015112562MaRDI QIDQ1769974

Gordan Savin, Gan, Wee Teck

Publication date: 5 April 2005

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2004.v11.n5.a4

zbMATH Keywords

universal enveloping algebrassimple Lie algebrasminimal nilpotent orbitJoseph ideal

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Universal enveloping algebras of Lie algebras (16S30)

Related Items (11)

Notes on higher-spin algebras: minimal representations and structure constants ⋮ Deformation quantization on the closure of minimal coadjoint orbits ⋮ Classification of minimal representations of real simple Lie groups ⋮ Irreducible highest weight representations of the simple \(n\)-Lie algebra ⋮ Multiplicity in restricting minimal representations ⋮ JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS ⋮ Structure of the degenerate principal series on symmetric \(R\)-spaces and small representations ⋮ Minimal representations via Bessel operators ⋮ Isolatedness of the minimal representation and minimal decay of exceptional groups ⋮ The Schrödinger model for the minimal representation of the indefinite orthogonal group 𝑂(𝑝,𝑞) ⋮ The degenerate residual spectrum of quasi-split forms of $Spin_8$ associated to the Heisenberg parabolic subgroup

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