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PreprintCC BY 4.0arXiv

Cohomology, Extensions and Deformations of restricted Lie triple systems

  • Jon Beristain
  • Abdenacer Makhlouf
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Abstract

The main purpose of this paper is to provide a cohomology theory of restricted Lie triple systems in low degrees and their algebraic interpretations. We define restricted cochains up to degree 5, together with the corresponding coboundary operators. Moreover, we provide interpretations of the low-degree restricted cohomology groups in terms of restricted derivations, extensions of restricted modules, formal deformations, and extensions of restricted Lie triple systems.

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Cite

BibTeXRIS
BibTeX
@misc{beristain2026cohomology,
  title = {{Cohomology, Extensions and Deformations of restricted Lie triple systems}},
  author = {Jon Beristain and Abdenacer Makhlouf},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21860},
  eprint = {2609.21860},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21860},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Cohomology, Extensions and Deformations of restricted Lie triple systems
AU  - Jon Beristain
AU  - Abdenacer Makhlouf
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21860
UR  - https://arxiv.org/abs/2609.21860
AB  - The main purpose of this paper is to provide a cohomology theory of restricted Lie triple systems in low degrees and their algebraic interpretations. We define restricted cochains up to degree 5, together with the corresponding coboundary operators. Moreover, we provide interpretations of the low-degree restricted cohomology groups in terms of restricted derivations, extensions of restricted modules, formal deformations, and extensions of restricted Lie triple systems.
ER  -