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PreprintCC0arXiv

sl(2)- and osp(1|2)-invariant multidifferential operators

  • Wafa Mtaouaa
Open at sourcePDFDOICite

Abstract

We determine the dimension of the space of sl(2)-invariant (n)-ary differential operators on weighted densities for arbitrary weights, including the singular cases in which the usual elimination procedure breaks down. The proof relies on the strong Lefschetz property established by Stanley \cite{s} and Watanabe \cite{w}. We also investigate the corresponding problem in the super case.

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Cite

BibTeXRIS
BibTeX
@misc{mtaouaa2026osp12invariant,
  title = {{$\mathfraksl(2)$- and $\mathfrakosp(1|2)$-invariant multidifferential operators}},
  author = {Wafa Mtaouaa},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08418},
  eprint = {2611.08418},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08418},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - sl(2)- and osp(1|2)-invariant multidifferential operators
AU  - Wafa Mtaouaa
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08418
UR  - https://arxiv.org/abs/2611.08418
AB  - We determine the dimension of the space of sl(2)-invariant (n)-ary differential operators on weighted densities for arbitrary weights, including the singular cases in which the usual elimination procedure breaks down. The proof relies on the strong Lefschetz property established by Stanley \cite{s} and Watanabe \cite{w}. We also investigate the corresponding problem in the super case.
ER  -