Discrete series representations with non-tempered embedding

2021/03/15 by Bernhard Krötz, Krötz, Bernhard, Job J. Kuit +3
Mathematics · #22E45 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2103.08296

openalex publication_date 2021/03/15 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We give an example of a semisimple symmetric space G/H and an irreducible representation of G which has multiplicity 1 in L²(G/H) and multiplicity 2 in C^∞(G/H).

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