Carter–Payne homomorphisms and Jantzen filtrations

Sinéad Lyle; Andrew Mathas

doi:10.1007/s10801-010-0222-z

Carter–Payne homomorphisms and Jantzen filtrations

Sinéad Lyle, Andrew Mathas

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	417-457
Number of pages	41
Journal	Journal of Algebraic Combinatorics
Volume	32
Issue number	3
DOIs	https://doi.org/10.1007/s10801-010-0222-z
Publication status	Published - 2010

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10.1007/s10801-010-0222-z

Cite this

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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.",

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AB - 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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DO - 10.1007/s10801-010-0222-z

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