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Matrix coefficients of intertwining operators and the Bruhat order
Daniel Bump, Béatrice Chetard
Let be an unramified principal series representation of a reductive group over a nonarchimedean local field, parametrized by an element $\mathbf{z…
Colored Vertex Models and Iwahori Whittaker Functions
Ben Brubaker, Valentin Buciumas, Daniel Bump +1
We give a recursive method for computing all values of a basis of Whittaker functions for unramified principal series invariant under an Iwahori or parahoric subgroup of a split re…
Vertex operators, solvable lattice models and metaplectic Whittaker functions
Ben Brubaker, Valentin Buciumas, Daniel Bump +1
We show that spherical Whittaker functions on an -fold cover of the general linear group arise naturally from the quantum Fock space representation of $U_q(\widehat{\mathfrak{sl…
Casselman's basis of Iwahori vectors and Kazhdan-Lusztig polynomials
Daniel Bump, Maki Nakasuji
A problem in representation theory of -adic groups is the computation of the \textit{Casselman basis} of Iwahori fixed vectors in the spherical principal series representations,…