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PreprintCC BY 4.0arXiv

Classification of Finite-Dimensional Simple Novikov Algebras and Their Irreducible Bimodules in Positive Characteristic

  • Dong Liu
  • Yufeng Pei
  • Limeng Xia
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Abstract

We give a complete classification of finite-dimensional simple Novikov algebras over an algebraically closed field of characteristic p>2, including families missing from earlier classifications in \cite{Osborn1992, Xu1996}. We determine explicit normal forms and all isomorphisms between them, and classify all nontrivial irreducible bimodules over these algebras.

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Cite

BibTeXRIS
BibTeX
@misc{liu2026classification,
  title = {{Classification of Finite-Dimensional Simple Novikov Algebras and Their Irreducible Bimodules in Positive Characteristic}},
  author = {Dong Liu and Yufeng Pei and Limeng Xia},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34896},
  eprint = {2610.34896},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34896},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Classification of Finite-Dimensional Simple Novikov Algebras and Their Irreducible Bimodules in Positive Characteristic
AU  - Dong Liu
AU  - Yufeng Pei
AU  - Limeng Xia
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.34896
UR  - https://arxiv.org/abs/2610.34896
AB  - We give a complete classification of finite-dimensional simple Novikov algebras over an algebraically closed field of characteristic p>2, including families missing from earlier classifications in \cite{Osborn1992, Xu1996}. We determine explicit normal forms and all isomorphisms between them, and classify all nontrivial irreducible bimodules over these algebras.
ER  -