ON THE SOCLES OF CERTAIN PARABOLICALLY INDUCED REPRESENTATIONS OF p-ADIC CLASSICAL GROUPS

Article Mathematics

On unitarizability and Arthur packets

Marko Tadic

Summary: This paper explores the relation between the question of unitarizability of classical p-adic groups and Arthur packets, starting from Tadic (to appear in Memoirs of the American Mathematical Society 2020).

MANUSCRIPTA MATHEMATICA (2022)

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Article Mathematics

Reducibility of representations induced from the Zelevinsky segment and discrete series

Ivan Matic

Summary: The reducibility criteria for a parabolically induced representation of the form sigma, where sigma is a Zelevinsky segment representation of the general linear group and sigma is a discrete series representation of G(n), are determined in terms of the Moeglin-Tadic classification for the group SO(2n+1,F) or Sp(2n,F) over a non-archimedean local field.

MANUSCRIPTA MATHEMATICA (2021)

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Article Mathematics, Applied

REPRESENTATIONS INDUCED FROM CUSPIDAL AND LADDER REPRESENTATIONS OF CLASSICAL p-ADIC GROUPS

Barbara Bosnjak

Summary: This paper investigates the composition series of representations of the group G(n) over a non-archimedean local field F, induced from cuspidal and ladder representations, where the minimal exponent in the cuspidal support of the ladder representation is greater than or equal to 1/2.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2021)

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Article Mathematics