A theory of $γ$-factors for $G_2 \times GL_r$

Wee Teck Gan; Gordan Savin

paper

A theory of $γ$ -factors for $G_{2} \times G L_{r}$

arXiv:2308.12561

Abstract

We construct a theory of local gamma factors for $G_{2} \times G L_{r}$ using a functorial lifting from $G_{2}$ to $G L_{7}$ . This theory of gamma factors is uniquely characterized by a usual list of properties, showing that it is the only possible candidate. Moreover, this theory of gamma factors is compatible with the Galois theoretic one under the local Langlands correspondence for $G_{2}$ .

A theory of γ-factors for G2​×GLr​

Abstract

A theory of $γ$ -factors for $G_{2} \times G L_{r}$