The Adjoint L-function of SU(2,1)
Joseph Hundley
TL;DR
This paper adapts Ginzburg's method for the Adjoint L function from GL(3) to quasisplit unitary groups, enabling new computations in automorphic forms and representation theory.
Contribution
It introduces a modified construction for the Adjoint L function tailored to quasisplit unitary groups, extending previous work on GL(3).
Findings
Modified Ginzburg's construction for unitary groups.
Facilitates unfolding and unramified computations for these groups.
Enhances understanding of automorphic L-functions for unitary groups.
Abstract
We modify Ginzburg's construction for the Adjoint L function of GL(3) (unfolding and unramified computations only) to accomodate quasisplit unitary groups.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Finite Group Theory Research