Open AccessUnitarity and Functoriality
Author(s) -
James Cogdell,
Ilya Piatetski-Shapiro
Publication year - 1995
Publication title -
birkhäuser basel ebooks
Language(s) - English
Resource type - Book series
DOI - 10.1007/978-3-0348-9102-8_3
Subject(s) - automorphic form , automorphic l function , langlands–shahidi method , unitarity , unitary state , mathematics , langlands program , pure mathematics , set (abstract data type) , langlands dual group , field (mathematics) , decomposition , algebraic number , algebraic group , algebraic number field , algebra over a field , physics , mathematical analysis , computer science , chemistry , particle physics , conjecture , law , programming language , organic chemistry , political science
Let G be a reductive algebraic group defined over a global field k.Denote by A(G) the set of all automorphic representations of G(A). Denote by A S (G) the set of all unitary automorphic representations which occur in Langlands’ spectral decomposition of L 2(G(k)\G(A)) and A d (G) those which occur discretely. Throughout this paper, cuspidal automorphic representations will mean unitary cuspidal automorphic representations.
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