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arXiv · 1006.3864

The Tannakian Formalism and the Langlands Conjectures

David Kazhdan·Michael Larsen·Yakov Varshavsky
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Abstract

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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David Kazhdan, Michael Larsen, Yakov Varshavsky. 2010-06-29. The Tannakian Formalism and the Langlands Conjectures. https://doi.org/10.2140/ant.2014.8.243

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