Algebras and modules

Collections

Representations, extensions and resolutions that reveal algebraic structure.

4 problems

6 total

Do vanishing higher extension groups force a module to be projective?

For each finite-dimensional algebra, are finite projective dimensions of finitely generated modules bounded?

Can Thompson’s group F admit an average that is unchanged by every group translation?

Does every separable nuclear C*-algebra satisfy the universal coefficient theorem relating its K-theoretic invariants?

Can each block’s irreducible representations in prime characteristic be counted entirely from local subgroup data?

Does an abelian-defect representation block retain its derived structure when replaced by its local normalizer block?