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arXiv · 1407.0934

Regularity of some invariant distributions on nice symmetric pairs

Pascale Harinck
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Abstract

J.~Sekiguchi determined the semisimple symmetric pairs (g,h), called nice symmetric pairs, on which there is no non-zero invariant eigendistribution with singular support. On such pairs, we study regularity of invariant distributions annihilated by a polynomial of the Casimir operator. We deduce that invariant eigendistributions on (gl(4,R),gl(2,R)*gl(2,R)) are locally integrable functions.

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Pascale Harinck. 2014-07-07. Regularity of some invariant distributions on nice symmetric pairs. https://arxiv.org/abs/1407.0934

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