Morita invariants

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Under-construction.png

Invariants preserved under Morita equivalence of blocks of f.d. [math]k[/math]-algebras

  • Number of isomorphism classes of simple modules
  • Isomorphism type of centre of algebra, and so dimension of centre
  • Loewy structure and socle structure

Invariants preserved under [math]k[/math]-Morita equivalence of blocks of finite groups

Invariants preserved under [math]\mathcal{O}[/math]-Morita equivalence of blocks of finite groups

Invariants preserved under basic Morita equivalence of blocks of finite groups[1]

Invariants preserved under splendid Morita equivalence of blocks of finite groups

Notes

  1. Note that by [KL18], if [math]k[/math]-blocks are basic Morita equivalent, then the corresponding [math]\mathcal{O}[/math]-blocks are Morita equivalent