Langlands Reciprocity

The conjecture that the Artin L-function of any -dimensional complex representation of the Galois group of a finite extension of the rational numbers  is an Artin L-function obtained from the general linear group .

REFERENCES:

Knapp, A. W. "Group Representations and Harmonic Analysis, Part II." Not. Amer. Math. Soc. 43, 537-549, 1996.