PreprintCC BY 4.0arXiv
Wedderburn decomposition of Twisted skew abelian group algebra
Abstract
We compute the Wedderburn decomposition of a finite twisted skew group algebra over a finite abelian group G and a finite field K. To do so, we prove that this twisted skew group algebra is a homomorphic image of a finite group algebra. We then characterise its Shoda pairs, as well as propose an algorithm for computing a complete set of them.
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BibTeX
@misc{sanchez2026wedderburn,
title = {{Wedderburn decomposition of Twisted skew abelian group algebra}},
author = {Alvaro Otero Sanchez},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.07644},
eprint = {2609.07644},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.07644},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Wedderburn decomposition of Twisted skew abelian group algebra
AU - Alvaro Otero Sanchez
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2609.07644
UR - https://arxiv.org/abs/2609.07644
AB - We compute the Wedderburn decomposition of a finite twisted skew group algebra over a finite abelian group G and a finite field K. To do so, we prove that this twisted skew group algebra is a homomorphic image of a finite group algebra. We then characterise its Shoda pairs, as well as propose an algorithm for computing a complete set of them.
ER -