arXiv
Open Access
2021
Torsion pairs and Ringel duality for Schur algebras
Karin Erdmann
Stacey Law
Abstrak
Let $A$ be a finite-dimensional algebra over a field of characteristic $p>0$. 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 $S_q(2,r)$ are Morita equivalent as quasi-hereditary algebras to their Ringel duals if they contain $2p^k$ simple modules for some $k$.
Topik & Kata Kunci
Penulis (2)
K
Karin Erdmann
S
Stacey Law
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2021
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