The Tannakian Formalism and the Langlands Conjectures

Details The Tannakian Formalism and the Langlands Conjectures The Tannakian Formalism and the Langlands Conjectures

2010-06-19

arxiv.org/abs/1006.3864v2

Mathematics

Number Theory

15 pages

Scientific paper

Let H be a connected reductive group over an algebraically closed field of
characteristic zero, and let G be an abstract group. In this note we show that
every homomorphism from the Grothendieck semiring of H to that of G which maps
irreducible representations to irreducibles, comes from a group homomorphism
from G to H. We also connect this result with the Langlands conjectures.

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