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On the structure of the space of cusp forms for a semisimple group over a number field

Author(s): Goran Muic
Journal: Proc. Amer. Math. Soc. 138 (2010), 3147-3158.
MSC (2010): Primary 11F70
Posted: April 9, 2010
MathSciNet review: 2653939
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Abstract: Let be a semisimple algebraic group defined over a number field . We study unramified irreducible components of irreducible automorphic cuspidal representations in the space of cusp forms $\mathcal{A}_{cusp}(G(k)\setminus G(\mathbb{A}))$ using the action of an unramified Hecke algebra on compactly supported cuspidal Poincaré series.

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