3 papers
math.CO2022
Special Functions for Hyperoctahedral Groups Using Bosonic, Trigonometric Six-Vertex Models
Ben Brubaker, Will Grodzicki, Andrew Schultz
Recent works have sought to realize certain families of orthogonal, symmetric polynomials as partition functions of well-chosen classes of solvable lattice models. Many of these us…
math.RT2018
An orbit model for the spectra of nilpotent Gelfand pairs
Holley Friedlander, William Grodzicki, Wayne Johnson +4
Let be a connected and simply connected nilpotent Lie group, and let be a subgroup of the automorphism group of . We say that the pair is a nilpotent Gelfand pai…
math.RT2017
The Non-Split Bessel Model on GSp(2n) as an Iwahori-Hecke Algebra Module
William Grodzicki
We realize the non-split Bessel model of Novodvorsky and Piatetski-Shapiro as a generalized Gelfand-Graev representation of GSp(4), as suggested by Kawanaka. With uniqueness of the…