Invariant Distributions on Lie Algebras

DOI10.2307/2373165zbMath0131.33302OpenAlexW2329340360MaRDI QIDQ5340348

Harish-Chandra

Publication date: 1964

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

Full work available at URL: https://doi.org/10.2307/2373165

zbMATH Keywords

functional analysis

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Distributions, generalized functions, distribution spaces (46Fxx)

Related Items (27)

Radon-Fourier transforms on symmetric spaces and related group representations ⋮ Fourier Inversion for Unipotent Invariant Integrals ⋮ Special values of \(L\)-functions by a Siegel-Weil-Kudla-Rallis formula ⋮ Covariant distributions on hyperbolic spaces ⋮ The orders of invariant eigendistributions ⋮ Invariant Eigendistributions on a Semisimple Lie Group ⋮ Invariant eigendistributions for the symmetric pair \((\mathfrak {gl}(4,\mathbb R),\mathfrak {gl}(2,\mathbb R) \times \mathfrak {gl}(2,\mathbb R))\) ⋮ The kernel of an homomorphism of Harish-Chandra ⋮ Local geometry of orbits for an ordinary classical Lie supergroup ⋮ On the degree 5 \(L\)-function for \(Sp(2)\) ⋮ Temperedness of measures defined by polynomial equations over local fields ⋮ Dual pairs and Kostant-Sekiguchi correspondence. II: Classification of nilpotent elements ⋮ Lorentz covariant tempered distributions in two-dimensional space-time ⋮ Unnamed Item ⋮ A Capelli Harish-Chandra homomorphism ⋮ Discrete series for semisimple Lie groups. I: Construction of invariant eigendistributions ⋮ Invariant differential operators on the tangent space of some symmetric spaces ⋮ Discrete series for semisimple Lie groups. II: Explicit determination of the characters ⋮ Invariant eigendistributions on a semisimple Lie algebra ⋮ An asymptotic expansion of the \(p\)-adic Green function ⋮ The nilpotent subvariety of the vector space associated to a symmetric pair ⋮ La surjectivité de l'application moyenne pour les espaces préhomogènes ⋮ Unnamed Item ⋮ Multiplicity free subgroups of semi-direct products ⋮ Invariant eigendistributions on the tangent space of a rank one semisimple symmetric space ⋮ Invariant eigendistributions on \(\text{SU}_{p,q}\) ⋮ Transformationsgruppen mit affinen Bahnen. (Transformation groups with affine orbits)

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