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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 570=30, 2026.

Original scientific paper

https://doi.org/10.21857/94kl4cerqm

Ends of the first complementary series of generalized principal series

Darija Brajković Zorić orcid id orcid.org/0000-0001-5146-9296 ; School of Applied Mathematics and Informatics, University of Osijek, 31 000 Osijek, Croatia
Ivan Matić orcid id orcid.org/0000-0001-9264-9293 ; School of Applied Mathematics and Informatics, University of Osijek, 31 000 Osijek, Croatia

Full text: english pdf 569 Kb

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Abstract

We determine all irreducible non-tempered composition factors of induced representations appearing at the ends of the first complementary series of generalized principal series representation of either symplectic, special odd-orthogonal, or unitary group over a non-archimedean local field.

Keywords

Classical p-adic groups; discrete series; composition factors; generalized principal series

Hrčak ID:

344363

URI

https://hrcak.srce.hr/344363

Publication date:

10.2.2026.

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