This thesis generalizes the work of DeBacker and Reeder  to the case of reductive groups splitting over a tame extension of the field of definition. The approach is broadly similar and the restrictions on the parameter the same, but many of the details of the arguments differ.
Let G be a unitary group defined over a local field K and splitting over a tame extension E/K. Given a Langlands parameter ϕ : [special characters omitted] → LG that is tame, discrete and regular, we give a natural construction of an L-packet Π ϕ associated to ϕ, consisting of representations of pure inner forms of G(K) and parameterized by the characters of the finite abelian group Aϕ = Z Ĝ(ϕ).
|Advisor:||Gross, Benedict H.|
|School Location:||United States -- Massachusetts|
|Source:||DAI-B 72/09, Dissertation Abstracts International|
|Keywords:||Langlands correspondence, Number theory, Ramefied groups, Representation theory|
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