Geodesic
Weak Bruhat interval modules of finite-type \(0\)-Hecke algebras and projective covers
Joshua Bardwell1 ; Dominic Searles1
1University of Otago
The electronic journal of combinatorics, Tome 32 (2025) no. 2
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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.
DOI : 10.37236/13516
Classification : 05E10, 20C08, 05E05

Joshua Bardwell  1   ; Dominic Searles  1

1 University of Otago 
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     author = {Joshua Bardwell and Dominic Searles},
     title = {Weak {Bruhat} interval modules of finite-type {\(0\)-Hecke} algebras and projective covers},
     journal = {The electronic journal of combinatorics},
     year = {2025},
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     number = {2},
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Joshua Bardwell; Dominic Searles. Weak Bruhat interval modules of finite-type \(0\)-Hecke algebras and projective covers. The electronic journal of combinatorics, Tome 32 (2025) no. 2. doi: 10.37236/13516

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