THE -SINGULAR DICHOTOMY FOR EXCEPTIONAL LIE GROUPS AND ALGEBRAS

DOI10.1017/S1446788713000220zbMath1292.43010OpenAlexW1970227839WikidataQ115335489 ScholiaQ115335489MaRDI QIDQ5408716

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Publication date: 11 April 2014

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788713000220

zbMATH Keywords

Lie algebraLie groupmeasureroot systemconjugacy classadjoint orbit

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Analysis on other specific Lie groups (43A80) Root systems (17B22)

Related Items (5)

A geometric proof of the \(L^{2}\)-singular dichotomy for orbital measures on Lie algebras and groups ⋮ The absolute continuity of convolutions of orbital measures in \(SO(2n+1)\) ⋮ The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces ⋮ The absolute continuity of convolutions of orbital measures in symmetric spaces ⋮ The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces

Cites Work

• Sums of adjoint orbits and \(L^2\)-singular dichotomy for \(SU(m)\)
• \(L^2\)-singular dichotomy for orbital measures of classical compact Lie groups
• On the distribution of the spectrum of the sum of two Hermitian or real symmetric matrices
• \(L^{2}\)-singular dichotomy for orbital measures of classical simple Lie algebras
• Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds
• Central measures on compact simple Lie groups
• On a Relationship Between Adjoint Orbits and Conjugacy Classes of a Lie Group
• Sums of adjoint orbits
• The size of characters of exceptional lie groups
• Introduction to Lie Algebras and Representation Theory

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