Isolatedness of the minimal representation and minimal decay of exceptional groups

DOI10.1007/s00229-006-0632-3zbMath1109.22010arXivmath/0505005OpenAlexW2113106772MaRDI QIDQ2494329

Hadi Salmasian

Publication date: 26 June 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505005

zbMATH Keywords

Fell topologyunitary dualexceptional algebraic groupminimal decayminimal irreducible unitary representationrank of an irreducible unitary representation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over local fields (22E50) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (4)

Classification of minimal representations of real simple Lie groups ⋮ A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method ⋮ Small principal series and exceptional duality for two simply laced exceptional groups ⋮ Rank and matrix coefficients for simply laced groups

Cites Work

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• The minimal orbit in a simple Lie algebra and its associated maximal ideal

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