Stable unital bases, hyperfocal subalgebras and basic Morita equivalences
Tiberiu Coconeţ
Babeş-Bolyai University, Cluj-Napoca, Romania
Abstract:
We investigate a Conjecture introduced by Barker and Gelvin involving source algebras of $p$-blocks of group algebras. We reduce this conjecture to a similar statement about the hyperfocal subalgebras of the source algebras. The class of blocks verifying the conjecture is closed under basic Morita equivalences.