A characterization of the unitary highest weight modules by Euclidean Jordan algebras

zbMath1279.22020arXiv1203.6434MaRDI QIDQ2856385

Zhan Qiang Bai

Publication date: 28 October 2013

Full work available at URL: https://arxiv.org/abs/1203.6434

zbMATH Keywords

Euclidean Jordan algebrasJoseph idealsunitary highest weight modulesquadratic relations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Jordan algebras (algebras, triples and pairs) (17C99)

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The Gelfand-Kirillov dimension of a unitary highest weight module ⋮ The classical dynamic symmetry for the \(\mathrm{U}(1)\)-Kepler problems

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