O'Reilly logo

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

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter Eighteen

Statement B and Crystal Graphs

Theorem 1.2 is now proved, but we have further important remarks to make, which will occupy the last three chapters. These chapters may be read independently of each other.

In this chapter, we will translate Statements A and B from Chapter 6 into Statements A′ and B′ in the language of crystal bases, and explain in this language how Statement B′ implies Statement A′.

We slightly generalize the definition (2.14) by considering more general reduced words Ω and defining

image

This definition is provisional since it assumes that we can give an appropriate definition of boxing and circling for Ω. We will only ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required