Sums of adjoint orbits and \(L^2\)-singular dichotomy for \(SU(m)\)

DOI10.1016/j.aim.2011.02.001zbMath1223.22007OpenAlexW2084845260MaRDI QIDQ531797

Alex Wright

Publication date: 20 April 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.02.001

zbMATH Keywords

moment mapcompact Lie groupspecial unitary grouporbital measure(co-)adjoint orbit

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (8)

A geometric proof of the \(L^{2}\)-singular dichotomy for orbital measures on Lie algebras and groups ⋮ Gradient flows for the minimum distance to the sum of adjoint orbits ⋮ 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 smoothness of convolutions of zonal measures on compact symmetric spaces ⋮ The absolute continuity of convolutions of orbital measures in symmetric spaces ⋮ THE -SINGULAR DICHOTOMY FOR EXCEPTIONAL LIE GROUPS AND ALGEBRAS ⋮ The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces

Cites Work

• \(L^2\)-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
• Convexity properties of the moment mapping
• Lie group valued moment maps
• Convexity properties of the moment mapping. II
• Convexity properties of the moment mapping. III
• Sums of adjoint orbits
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