Carter-Payne homomorphisms and Jantzen filtrations

Details Carter-Payne homomorphisms and Jantzen filtrations Carter-Payne homomorphisms and Jantzen filtrations

2009-12-10

arxiv.org/abs/0912.2038v1

Mathematics

Representation Theory

30 pages

Scientific paper

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.

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