The ordinary quiver of a weight three block of the symmetric group is bipartite.
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.
scientific article; zbMATH DE number 5123968