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math.RT2026
Projective resolutions of simple modules and Hochschild cohomology for incidence algebras
Viktor Bekkert, John William MacQuarrie, Júlio Marques
We give a practical, algorithmic method to calculate minimal projective resolutions of simple modules for a finite dimensional incidence -algebra , where is a field. We…
math.RT2025
Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups
Florian Eisele, Ricardo J. Franquiz Flores, John W. MacQuarrie
We introduce block pro-fusion systems for blocks of profinite groups, prove a profinite version of Puig's structure theorem for nilpotent blocks, and use it to show that there is o…