A doubling integral for G2

2012/10/15 by David Ginzburg, Joseph Hundley, Ginzburg, David +1
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1210.3885

openalex publication_date 2012/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a new integral representation for the standard L-function of an irreducible cuspidal automorphic representation of the exceptional group G2, and also for the twist of this L-function by an arbitrary character. Because our construction unfolds to a matrix coefficient rather than a Whittaker function, it applies to non-generic representations as well as generic ones.

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