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Article Dans Une Revue Pacific Journal of Mathematics Année : 2021

Decompositions of principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields

Résumé

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. In this paper, 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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Dates et versions

hal-02496531 , version 1 (03-03-2020)

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Auguste Hébert. Decompositions of principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields. Pacific Journal of Mathematics, 2021, ⟨10.2140/pjm.2021.310.303⟩. ⟨hal-02496531⟩
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