Coconet, T. & Todea, C.C. (2024) Algebras and Representation Theory [Matematică, Q2]

Publicat: 19 Iulie 2024

Coconet, T. & Todea, C.C. (2024) Stable unital bases, hyperfocal subalgebras and basic Morita equivalences. Algebras and Representation Theory, 27, 203–218.

DOI: https://doi.org/10.1007/s10468-023-10216-y

✓ Publisher: Springer
✓ Categories: Mathematics
✓ Article Influence Score (AIS): 0.584 (2023) / Q2

Abstract: We investigate Conjecture 1.5 introduced by Barker and Gelvin (J. Gr. Theory 25, 973–995 2022), which says that any source algebra of a p-block (p is a prime) of a finite group has the unit group containing a basis stabilized by the left and right actions of the defect group. We will reduce this conjecture to a similar statement about the bases of the hyperfocal subalgebras in the source algebras. We will also show that such unital bases of source algebras of two p-blocks, stabilized by the left and right actions of the defect group, are transported through basic Morita equivalences.

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