The ordinary quiver of a weight three block of the symmetric group is bipartite. (Q864567)
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scientific article; zbMATH DE number 5123968
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The ordinary quiver of a weight three block of the symmetric group is bipartite. |
scientific article; zbMATH DE number 5123968 |
Statements
The ordinary quiver of a weight three block of the symmetric group is bipartite. (English)
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12 February 2007
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Let \(F\) be a field and \(A\) be a finite-dimensional \(F\)-algebra. The ordinary quiver of \(A\) is a directed multi-graph with edges indexed by isomorphism classes of simple \(A\)-modules. In the paper under review it is shown that if \(F\) is a field of characteristic \(p\geq 5\), then the ordinary quiver of any \(p\)-block \(B\) of the symmetric group \(\mathfrak S_n\) with defect \(3\) is bipartite.
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symmetric groups
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blocks
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quivers
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hooks
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partitions
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