paper

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

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