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PreprintCC0arXiv

Appendix: The representations of the Lie superalgebra p(3) in characteristic 3

Abstract

Let g be the Lie superalgebra p(3) of rank 2 over an algebraically closed field K of characteristic p=3. We classify all irreducible modules of g, and give the character formulae for irreducible modules.

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BibTeX
@misc{ren2026appendix,
  title = {{Appendix: The representations of the Lie superalgebra $p(3)$ in characteristic 3}},
  author = {Ye Ren},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.27707},
  eprint = {2606.27707},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.27707},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Appendix: The representations of the Lie superalgebra p(3) in characteristic 3
AU  - Ye Ren
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2606.27707
UR  - https://arxiv.org/abs/2606.27707
AB  - Let g be the Lie superalgebra p(3) of rank 2 over an algebraically closed field K of characteristic p=3. We classify all irreducible modules of g, and give the character formulae for irreducible modules.
ER  -