Formulates the Galois Alperin weight conjecture for finite category algebras with a Γ×Aut(C)-equivariant bijection between simple kC-modules and weights of kO_C, reduces it to finite groups, and does the same for a blockwise version on EI-categories.
Linckelmann, The Block Theory of Finite Group Algebras I, London Math
2 Pith papers cite this work. Polarity classification is still indexing.
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Simplified proof and extension of Puig's result on endopermutation sources for bimodules with twisted diagonal vertices inducing stable Morita equivalences.
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The Galois Alperin weight conjecture for finite category algebras
Formulates the Galois Alperin weight conjecture for finite category algebras with a Γ×Aut(C)-equivariant bijection between simple kC-modules and weights of kO_C, reduces it to finite groups, and does the same for a blockwise version on EI-categories.
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On stable equivalences of Morita type with twisted diagonal vertices
Simplified proof and extension of Puig's result on endopermutation sources for bimodules with twisted diagonal vertices inducing stable Morita equivalences.