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Weyl Group Multiple Dirichlet Series by Ben Brubaker, Daniel Bump, Solomon Friedberg

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Chapter Seventeen

Conclusion of the Proof

In Chapter 15 we reduced the proof of Theorem 1.2 to Statement G, given at the end of that chapter, and we now have the tools to prove it.

LEMMA 17.1 The cardinality of each Γ-pack or Δ-pack is a power of 2.

Image

Proof In a Γ-swap Image Image is replaced by Image in the signature. Since both signatures are subsignatures of η

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