Analysis of the Brylinski-Kostant Model for Spherical Minimal Representations

DOI10.4153/CJM-2012-011-9zbMath1271.17022arXiv1101.4402OpenAlexW2963802524MaRDI QIDQ2903303

Jacques Faraut, Dehbia Achab

Publication date: 8 August 2012

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4402

zbMATH Keywords

Jordan algebraminimal representationsMeijer G-functionKantor-Koecher-Tits constructionBernstein identity

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Associated manifolds of Jordan algebras (17C36)

Related Items (4)

Minimal representations of simple real Lie groups of non Hermitian type ⋮ Non-abelian gradings of Lie algebras ⋮ Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups ⋮ Analysis of minimal representations of \(\mathrm{SL}(n, \mathbb{R})\)

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