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Absolutely irreducible modules via James triples
Abstract
The construction of absolutely irreducible KG-modules for a field K and a finite group G is a basic problem in representation theory. For the symmetric group Sn, Gordon James gave an explicit solution using subgroup data associated to a μ-tableau t for partitions μ⊢ n. Here, we want to investigate in which way James's method can be extended beyond symmetric groups. We identify suitable subgroup data from a finite group and use it to construct a module such that an associated factor module is absolutely irreducible or zero.
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BibTeX
@misc{krauß2026absolutely,
title = {{Absolutely irreducible modules via James triples}},
author = {Nora Krauß},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37430},
eprint = {2609.37430},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37430},
}
RIS
TY - UNPB
TI - Absolutely irreducible modules via James triples
AU - Nora Krauß
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37430
UR - https://arxiv.org/abs/2609.37430
AB - The construction of absolutely irreducible KG-modules for a field K and a finite group G is a basic problem in representation theory. For the symmetric group S_n, Gordon James gave an explicit solution using subgroup data associated to a μ-tableau t for partitions μ⊢ n. Here, we want to investigate in which way James's method can be extended beyond symmetric groups. We identify suitable subgroup data from a finite group and use it to construct a module such that an associated factor module is absolutely irreducible or zero.
ER -