Torsion Pairs and Ringel Duality for Schur Algebras
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10468-021-10098-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7418 |
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oai:localhost:PNK-74182023-04-03T03:36:34Z Torsion Pairs and Ringel Duality for Schur Algebras Karin, Erdmann Stacey, Law basic projective A–modules P torsion submodules of P CC BY 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. 2023-04-03T03:11:31Z 2023-04-03T03:11:31Z 2021 Book https://link.springer.com/article/10.1007/s10468-021-10098-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7418 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
basic projective A–modules P torsion submodules of P |
| spellingShingle |
basic projective A–modules P torsion submodules of P Karin, Erdmann Stacey, Law Torsion Pairs and Ringel Duality for Schur Algebras |
| description |
CC BY |
| format |
Book |
| author |
Karin, Erdmann Stacey, Law |
| author_facet |
Karin, Erdmann Stacey, Law |
| author_sort |
Karin, Erdmann |
| title |
Torsion Pairs and Ringel Duality for Schur Algebras |
| title_short |
Torsion Pairs and Ringel Duality for Schur Algebras |
| title_full |
Torsion Pairs and Ringel Duality for Schur Algebras |
| title_fullStr |
Torsion Pairs and Ringel Duality for Schur Algebras |
| title_full_unstemmed |
Torsion Pairs and Ringel Duality for Schur Algebras |
| title_sort |
torsion pairs and ringel duality for schur algebras |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10468-021-10098-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7418 |
| _version_ |
1762184301930086400 |
| score |
8.893527 |