Irreducibility Criteria for Local and Global Representations

2011/05/25 by Narita, Hiro-aki, Pitale, Ameya, Schmidt, Ralf · 1 citation
#11F46 #11F50 (Secondary) #11F70 (Primary) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1105.5169

Abstract

It is proved that certain types of modular cusp forms generate irreducible automorphic representation of the underlying algebraic group. Analogous archimedean and non-archimedean local statements are also given.

Cited by

• The Kodaira dimension of even-dimensional ball quotients

Related

• Irreducibility and cuspidality
• Strong local-global phenomena for Galois and automorphic representations
• An irreducibility criterion for group representations, with arithmetic applications
• Rational Structures on Automorphic Representations
• Local-global compatibility for regular algebraic cuspidal automorphic representation when ℓ ≠ p