A classification of the irreducible mod-p representations of U(1,1)(Q_p^2/Q_p)

Karol Koziol

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arXiv · 1210.0646

A classification of the irreducible mod-p representations of U(1,1)(Q_p^2/Q_p)

Karol Koziol

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Abstract

Let p be a prime number. We classify all smooth irreducible mod-p representations of the unramified unitary group U(1,1)(Q_p^2/Q_p) in two variables. We then investigate Langlands parameters in characteristic p associated to U(1,1)(Q_p^2/Q_p), and propose a correspondence between certain equivalence classes of Langlands parameters and certain isomorphism classes of semisimple L-packets on U(1,1)(Q_p^2/Q_p).

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BibTeX RIS

Karol Koziol. 2015-12-09. A classification of the irreducible mod-p representations of U(1,1)(Q_p^2/Q_p). https://arxiv.org/abs/1210.0646

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