LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Nonarchimedean components of non-endoscopic automorphic representations for quasisplit Sp(N) and O(N)

Photo from archive.org

Arthur classified the discrete automorphic representations of symplectic and orthogonal groups over a number field by that of the general linear groups. In this classification, those that are not from… Click to show full abstract

Arthur classified the discrete automorphic representations of symplectic and orthogonal groups over a number field by that of the general linear groups. In this classification, those that are not from endoscopic lifting correspond to pairs $$(\phi , b)$$ ( ϕ , b ) , where $$\phi $$ ϕ is an irreducible unitary cuspidal automorphic representation of some general linear group and b is an integer. In this paper, we study the local components of these automorphic representations at a nonarchimedean place, and we give a complete description of them in terms of their Langlands parameters.

Keywords: endoscopic automorphic; automorphic representations; nonarchimedean components; non endoscopic; components non; representations quasisplit

Journal Title: Mathematische Zeitschrift
Year Published: 2019

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.