Recently, Iwahori-Hecke algebras were associated to Kac-Moody groups over non-Archimedean local fields. We introduce principal series representations for these algebras. We study these representations and partially generalize Kato and Matsumoto irreducibility criteria.
Decompositions of principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields
Symmetry breaking for $\operatorname{PGL}(2)$ over non-archimedean local fields
Rankin-Selberg integrals for principal series representations of GL(n)
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