`Carter-Payne homomorphisms and Jantzen Filtrations'.
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Thu, 29/10/2009 14:30 |
John Murray (Maynooth (Ireland)) |
Representation Theory Seminar  |
L3 |
| (Joint with Harald Ellers, Allegheny College, PA, USA) Carter and Payne constructed homomorphisms between Specht modules for the symmetric groups, based on moving boxes of the same residue in the associated partition diagrams. We study the special case of a one-box-shift. In particular, we give a lower bound for the Jantzen submodule of the codomain that contains the image. | |||