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Local Factors, Reciprocity and Vinberg Monoids
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This article addresses the problem of existence of local factors, i.e., the root numbers and L-functions attached to representations of reductive groups over local fields and irreducible finite dimensional representations of their L-groups, as well as their equality with those of Artin factors through the local Langlands correspondence. We conclude the paper with a survey of the theory of monoids of Braverman-Kazhdan, Ngo and Vinberg in generalizing the method of Godement and Jacquet to arbitrary setting and their connections with Langlands-Shahidi method.
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Cited by 1 Pith paper
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Stability of the exterior cube $\gamma$-factors for $\mathrm{GL}(6)$
Proves stability of the Langlands-Shahidi γ-factor for the exterior cube representation of GL_6 using an E6 parabolic realization, explicit geometric quotient, and asymptotic analysis of partial Bessel integrals.
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