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arXiv:1210.0646 [math.RT]AbstractReferencesReviewsResources

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

Karol Koziol

Published 2012-10-02, updated 2015-12-09Version 4

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).

Comments: 29 pages. The assumption p > 2 has been removed. Other minor changes also made. To appear in AIF
Categories: math.RT, math.NT
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