Glasnik Matematicki, Vol. 54, No. 2 (2019), 421-462.

THETA LIFTS OF GENERIC REPRESENTATIONS: THE CASE OF ODD ORTHOGONAL GROUPS

Petar Bakić

Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
e-mail: pbakic@math.hr

Abstract.   We determine the occurrence and explicitly describe the theta lifts on all levels of all the irreducible generic representations of the odd orthogonal group defined over a local nonarchimedean field of characteristic zero.

2010 Mathematics Subject Classification.   22E50, 11F27

Key words and phrases.   Representation theory of p-adic groups, theta correspondence, generic representations

Full text (PDF) (free access)

https://doi.org/10.3336/gm.54.2.08

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