Abstract
Let A be a finite-dimensional algebra over an algebraically closed field. We use a functorial approach involving torsion pairs to construct embeddings of endomorphism algebras of basic projective A–modules P into those of the torsion submodules of P. As an application, we show that blocks of both the classical and quantum Schur algebras S(2,r) and Sq(2,r) in characteristic p > 0 are Morita equivalent as quasi-hereditary algebras to their Ringel duals if they contain 2pk simple modules for some k.
Original language | English |
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Pages (from-to) | 411–432 |
Number of pages | 22 |
Journal | Algebras and Representation Theory |
Volume | 26 |
Issue number | 2 |
Early online date | 23 Sept 2021 |
DOIs | |
Publication status | Published - Apr 2023 |
Keywords
- Torsion pairs
- Ringel duality
- Schur algebras