Original scientific paper

https://doi.org/10.3336/gm.44.1.03

On the residual spectrum of Hermitian quaternionic inner form of SO_8

Neven Grbac ; Department of Mathematics, University of Rijeka, Rijeka, Croatia

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.

Keywords

Automorphic forms; spectral decomposition; residual spectrum; inner forms

Hrčak ID:

36944

URI

https://hrcak.srce.hr/36944

Publication date:

21.5.2009.

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