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Principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields (1812.08428v3)

Published 20 Dec 2018 in math.RT

Abstract: 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.

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