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

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Chapter Eight

Cartoons

This chapter will introduce a method of marking up a short Gelfand-Tsetlin pattern based on inequalities between its entries, that encodes the effect of the involution Image Image Image and the boxing and circling of its accordion. This will have another benefit: it will lead to the decomposition of the pattern into pieces called episodes that will ultimately lead to the reduction to the totally resonant case.

PROPOSITION 8.1 (i) If n a then ...

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