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arXiv · 0902.1909

Regular Orbital Measures on Lie Algebras

Alex Wright
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Abstract

Let H be a regular element of an irreducible Lie Algebra g, and let mu be the orbital measure supported on the Adjoint orbit of H. We show that the k-th power of the Fourier transform of mu is in L^2(g) if and only if k > dim g/(dim g-rank g).

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Alex Wright. 2009-02-11. Regular Orbital Measures on Lie Algebras. https://arxiv.org/abs/0902.1909

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