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arXiv · 2311.10068

Weak Bruhat interval modules of finite-type $0$-Hecke algebras and projective covers

Joshua Bardwell·Dominic Searles
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Abstract

We extend the recently-introduced weak Bruhat interval modules of the type A $0$-Hecke algebra to all finite Coxeter types. We determine, in a type-independent manner, structural properties for certain general families of these modules, with a primary focus on projective covers and injective hulls. We apply this approach to recover a number of results on type A $0$-Hecke modules in a uniform way, and obtain some additional results on recently-introduced families of type A $0$-Hecke modules.

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Joshua Bardwell, Dominic Searles. 2023-11-16. Weak Bruhat interval modules of finite-type $0$-Hecke algebras and projective covers. https://arxiv.org/abs/2311.10068

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