Carter-Payne homomorphisms and Jantzen filtrations
arXiv:0912.2038
Abstract
We prove a q-analogue of the Carter-Payne theorem in the case where the differences between the parts of the partitions are sufficiently large. We identify a layer of the Jantzen filtration which contains the image of these Carter-Payne homomorphisms and we show how these homomorphisms compose.
30 pages