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arxiv: 0912.2038 · v1 · submitted 2009-12-10 · 🧮 math.RT

Carter-Payne homomorphisms and Jantzen filtrations

classification 🧮 math.RT
keywords carter-paynehomomorphismsjantzencasecomposecontainsdifferencesfiltration
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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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