Glasnik Matematicki, Vol. 44, No.1 (2009), 11-81.

ON THE RESIDUAL SPECTRUM OF HERMITIAN QUATERNIONIC INNER FORM OF SO8

Neven Grbac

Department of Mathematics, University of Rijeka, Omladinska 14, 51000 Rijeka, Croatia
e-mail: neven.grbac@math.uniri.hr

Abstract.   In this paper we decompose the residual spectrum supported in the minimal parabolic subgroup of an inner form of the split group SO8. The approach is the Langlands spectral theory. However, since the group is non-quasi-split, it is out of the scope of the Langlands-Shahidi method and the new technique for the normalization of standard intertwining operators is developed. The decomposition shows interesting parts of the residual spectrum not appearing in the case of quasi-split groups.

2000 Mathematics Subject Classification.   11F70, 22E55.

Key words and phrases.   Automorphic forms, spectral decomposition, residual spectrum, inner forms.

Full text (PDF) (free access)

DOI: 10.3336/gm.44.1.03

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