L-groups and the Langlands program for covering groups

"This volume proposes an extension of the Langlands program to covers of quasisplit groups, where covers are those that arise from central extensions of reductive groups by K. By constructing an L-group for any such cover, one may conjecture a parameterization of general irreducible representations by Langlands parameters. Two constructions of the L-group are given, and related to each other in a final note. The proposed local Langlands conjecture for covers (LLCC) is proven for covers of split tori, spherical representations in the p-adic case, and discrete series for double-covers of real semisimple groups. The introduction of the L-group allows one to define partial L-functions and functoriality, including base change, for representations of covering groups"--Abstract.