Rad HAZU, Matematičke znanosti, Vol. 30 (2026), 75-91. \( \)

ENDS OF THE FIRST COMPLEMENTARY SERIES OF GENERALIZED PRINCIPAL SERIES

Darija Brajković Zorić and Ivan Matić

School of Applied Mathematics and Informatics, University of Osijek, 31 000 Osijek, Croatia
e-mail:dbrajkovic@mathos.hr

School of Applied Mathematics and Informatics, University of Osijek, 31 000 Osijek, Croatia
e-mail:imatic@mathos.hr

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.

2020 Mathematics Subject Classification.   22E35, 22E50, 11F70

Key words and phrases.   Classical \(p\)-adic groups, discrete series, composition factors, generalized principal series

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

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