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Torsion Pairs and Ringel Duality for Schur Algebras

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Bibliographic Details
Main Authors: Karin, Erdmann, Stacey, Law
Format: Book
Language:English
Published: Springer 2023
Subjects:
basic projective A–modules P
torsion submodules of P
Online Access:https://link.springer.com/article/10.1007/s10468-021-10098-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7418
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spelling 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 8.891145

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