The ordinary quiver of a weight three block of the symmetric group is bipartite |
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| Authors: | Matthew Fayers Kai Meng Tan |
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| Institution: | a Queen Mary University of London, Mile End Road, London E1 4NS, UK
b Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543 |
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| Abstract: | Suppose F is a field of characteristic p?5, and that B is a p-block of the symmetric group Sn of defect 3. We prove that the Ext1-quiver of B is bipartite, with the bipartition being described in a simple way using the leg-lengths of p-hooks of partitions. |
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| Keywords: | 20C30 20C08 |
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