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arXiv · 1102.0963

Distributions propres invariantes sur la paire sym\' etrique (gl(4,R),gl(2,R)*gl(2,R))

Pascale Harinck·Nicolas Jacquet
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Abstract

We study orbital integrals and invariant eigendistributions for the symmetric pair (g,h)=(gl(4,R),gl(2,R)*gl(2,R)). Let q=g/h and let N be the set of nilpotents of q. We first obtain an asymptotic behavior of orbital integrals around nonzero semisimple elements of q. We study eigendistributions around such elements and give an explicit basis of eigendistributions on q-N given by a locally integrable function on q-N.

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Pascale Harinck, Nicolas Jacquet. 2011-02-04. Distributions propres invariantes sur la paire sym\' etrique (gl(4,R),gl(2,R)*gl(2,R)). https://arxiv.org/abs/1102.0963

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