Weyl group multiple Dirichlet series, Eisenstein series and crystal bases

By Ben Brubaker, Daniel Bump, S. Friedberg. 2011

96 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6acc9c205673d8141f8dc24facda659eed6524fd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Daniel Bump
2. S. Friedberg
3. Gautam Chinta
4. Ben Brubaker
5. Omer Offen

In Discrete Mathematics and Combinatorics

1. Gautam Chinta
2. Daniel Bump
3. S. Friedberg
4. Ben Brubaker
5. Omer Offen
6. Paul E. Gunnells

In Mathematical Physics

1. Daniel Bump
2. S. Friedberg
3. Ben Brubaker
4. Gautam Chinta
5. Omer Offen
6. Peter J. McNamara
7. Paul E. Gunnells

Citations in the corpus

• A metaplectic Casselman-Shalika formula for GLr (2013, methodology): “Moreover, in [6], they have shown that their series coincide with the global Whittaker function of an Eisenstein series on the n-fold cover of GLr over a number field containing the 2n-th roots of unity.”
• Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory (2011, background): “The assignment of number-theoretic quantities to a given Gelfand-Tsetlin pattern can be described representation-theoretically; to do so it is helpful to pass to an alternative description presented in [7], where the coefficients were reinterpreted as sums over crystal bases of type A r .”