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Unitarizability of a certain class of irreducible representations of classical groups

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Abstract

We prove that a certain class of irreducible representations of the classical p-adic groups is unitarizable and in general, can be isolated in the unitary dual. These representations are Aubert duals of a certain class of square-integrable representations, thus, in this case, Bernstein’s conjecture, which states that the Aubert involution preserves unitarizability, is confirmed.

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  1. Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000, Zagreb, Croatia

    Marcela Hanzer

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  1. Marcela Hanzer
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Hanzer, M. Unitarizability of a certain class of irreducible representations of classical groups. manuscripta math. 127, 275–307 (2008). https://doi.org/10.1007/s00229-008-0204-9

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  • DOI: https://doi.org/10.1007/s00229-008-0204-9

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