Singularity of orbits in classical Lie algebras

DOI10.1007/S00039-003-0431-XzbMath1031.22004OpenAlexW2046331001MaRDI QIDQ1413655

Kathryn E. Hare, Sanjiv Kumar Gupta

Publication date: 17 November 2003

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-003-0431-x

zbMATH Keywords

tangent spacesclassical Lie algebrasorbital measuresorthogonal and symplectic groupssingularity properties of orbits

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Lie algebras of Lie groups (22E60) Lie algebras of linear algebraic groups (17B45)

Related Items (6)

The absolute continuity of convolutions of orbital measures in \(SO(2n+1)\) ⋮ The smoothness of convolutions of zonal measures on compact symmetric spaces ⋮ CONVOLUTION OF ORBITAL MEASURES IN SYMMETRIC SPACES ⋮ \(L^2\)-singular dichotomy for orbital measures of classical compact Lie groups ⋮ \(L^{2}\)-singular dichotomy for orbital measures of classical simple Lie algebras ⋮ The dichotomy problem for orbital measures of \(SU(n)\)

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