Skip to content
DraconiticResearch
Search Sources API
201,683 studies31 sourcesUpdated 15 min ago
PreprintarXiv licencearXiv

The algebraic and geometric classification of semi-alternative superalgebras

  • Hani Abdelwahab
  • Ivan Kaygorodov
  • Roman Lubkov
Open at sourcePDFDOICite

Abstract

The algebraic and geometric classifications of complex $3$-dimensional semi-alternative superalgebras are given. As corollaries, we obtain the algebraic and geometric classifications of complex $3$-dimensional perm, associative, and assosymmetric superalgebras.

Related

  1. The algebraic classification of five-dimensional nilpotent right alternative algebras
    Zohida Raxmatova, Aloberdi Sattarov
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  2. The algebraic and geometric classification of $3$-Poisson algebras
    Hani Abdelwahab, Kobiljon Abdurasulov, Ivan Kaygorodov
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  3. BiHom-Poisson conformal superalgebras arising from related algebraic structures
    BakolÈ Louamou, Ibrahima Bakayoko, Kol BÉatrice Gamou
    arXivPreprintCC BY-NC-SA 4.0Full textAlgebra & number theoryarXiv
  4. Completing the classification of Hopf superalgebras of dimension up to 10
    Taiki Shibata, Kenichi Shimizu, Ryota Wakao
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  5. Algebraic Vector Fields of Connected Semi-simple Matrix Groups are 3-generated
    Yiyang Jiang, Xudong Chen
    arXivPreprintarXiv licenceFull textAlgebra & number theoryAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{abdelwahab2026algebraic,
  title = {{The algebraic and geometric classification of semi-alternative superalgebras}},
  author = {Hani Abdelwahab and Ivan Kaygorodov and Roman Lubkov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23350},
  eprint = {2610.23350},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23350},
}
RIS
TY  - UNPB
TI  - The algebraic and geometric classification of semi-alternative superalgebras
AU  - Hani Abdelwahab
AU  - Ivan Kaygorodov
AU  - Roman Lubkov
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23350
UR  - https://arxiv.org/abs/2610.23350
AB  - The algebraic and geometric classifications of complex $3$-dimensional semi-alternative superalgebras are given. As corollaries, we obtain the algebraic and geometric classifications of complex $3$-dimensional perm, associative, and assosymmetric superalgebras.
ER  -