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math.RT2020
The Twisted Satake Transform and the Casselman-Shalika Formula for Quasi-Split Groups
Nadya Gurevich, Edmund Karasiewicz
We prove the Casselman-Shalika formula for unramified groups over a non-archimedean local field by studying the action of the spherical Hecke algebra on the space of compact spheri…
math.NT2020★ 1 cited
A Hecke Algebra on the Double Cover of a Chevalley Group Over
Edmund Karasiewicz
We prove that a certain genuine Hecke algebra on the non-linear double cover of a simple, simply-laced, simply-connected, Chevalley group over ad…