1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.RT2017★ 1 cited
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,…
math.PR2015
An Exercise (?) in Fourier Analysis on the Heisenberg Group
Daniel Bump, Persi Diaconis, Angela Hicks +2
Let H(n) be the group of 3x3 uni-uppertriangular matrices with entries in Z/nZ, the integers mod n. We show that the simple random walk converges to the uniform distribution in ord…
math-ph2005
On the averages of characteristic polynomials from classical groups
Daniel Bump, Alex Gamburd
We provide an elementary and self-contained derivation of formulae for products and ratios of characteristic polynomials from classical groups using classical results due to Weyl a…