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math.AG1999
Gamma-functions of representations and lifting
Alexander Braverman, David Kazhdan, V. Vologodsky
Let G be the group of points of a quasi-split reductive algebraic group over a local field F. It follows from the local Langlands conjectures that to every non-trivial additive cha…
math.AG1999
Crystals via the affine Grassmannian
Alexander Braverman, Dennis Gaitsgory
Let be a connected reductive group over $\CC$ and let be the Langlands dual group. Crystals for were introduced by Kashiwara as certain ``combinatorial sk…