Dominant dimension and almost relatively true versions of Schur's theorem. (Q720023)
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scientific article; zbMATH DE number 5957907
| Language | Label | Description | Also known as |
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| English | Dominant dimension and almost relatively true versions of Schur's theorem. |
scientific article; zbMATH DE number 5957907 |
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Dominant dimension and almost relatively true versions of Schur's theorem. (English)
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13 October 2011
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This is a survey article describing possibilities to pass some homological information via functors involved in generalizations of Schur-Weyl dualities. These possibilities are usually controlled by a homological invariant called `dominant dimension'. The paper introduces the reader to all concepts, describes various known results in the area and illustrates them by explicit examples.
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Schur algebras
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symmetric groups
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Schur-Weyl dualities
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diagram algebras
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highest weight categories
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dominant dimension
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cohomology
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