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Abstract
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Recently, Iwahori–Hecke algebras were associated to Kac–Moody groups over
non-Archimedean local fields. In a previous paper, we introduced principal series
representations for these algebras and partially generalized Kato’s irreducibility
criterion. Here, we study how some of these representations decompose when they are
reducible and deduce information on the irreducible representations of these
algebras.
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Keywords
Kac–Moody groups, Iwahori–Hecke algebras, principal series
representations, non-Archimedean local fields
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Mathematical Subject Classification 2010
Primary: 20C08, 20G44
Secondary: 20E42, 22E50
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Milestones
Received: 16 March 2020
Accepted: 15 December 2020
Published: 8 March 2021
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