Séminaire Lotharingien de Combinatoire, 91B.103 (2024), 12 pp.

Joshua Bardwell and Dominic Searles

Weak Bruhat Interval 0-Hecke Modules in Finite Type

Abstract. We extend the weak Bruhat interval modules, defined for 0-Hecke algebras in type A, to arbitrary finite types. We determine structural properties, with a main focus on projective covers and injective hulls, for certain general families of these modules in a type-independent way. As an application, we recover a number of results for type A 0-Hecke modules in a uniform manner. We also obtain some further results relating to recently-introduced type A 0-Hecke modules.

Received: November 15, 2023. Accepted: February 15, 2024. Final version: April 1, 2024.

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