Skip to content
DraconiticResearch
Search Sources API
186,086 studies31 sourcesUpdated 17 min ago
PreprintarXiv licencearXiv

Extending structures for the linear framework of Universal Algebra with applications to transposed Poisson algebras

  • Changhuan Liu
  • Tingfeng Wan
  • Guodong Zhou
Open at sourcePDFDOICite

Abstract

We present a general study of extending structures in the linear framework of Universal Algebra, which unifies many existing results and contains applications to various Poisson type algebras including transposed Poisson algebras.

Related

  1. Transposed Poisson structures in graded and algebroid geometry
    Gianmarco La Rosa
    arXivPreprintarXiv licenceFull textAlgebra & number theoryGeometry & topologyarXiv
  2. Extending Structures for n-Lie Algebras
    Tao Zhang
    arXivPreprintarXiv licenceFull textAlgebra & number theoryMathematical physicsarXiv
  3. Real-analytic realization of universal Teichmüller space via complex-structures on H1/2
    Liu Tailiang, Shen Yuliang
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  4. On Universal Minkowski Classes of Polytopes: Theory and Applications
    Boris Houska, Matthias A. Müller, Mario Eduardo Villanueva
    arXivPreprintCC BY 4.0Full textOptimisation & controlarXiv
  5. A decomposition theorem for elliptic structures of minimal rank on compact Lie groups and applications
    Guido Drei, Max Reinhold Jahnke
    arXivPreprintarXiv licenceFull textAnalysis & PDEsGeometry & topologyarXiv

Cite

BibTeXRIS
BibTeX
@misc{liu2026extending,
  title = {{Extending structures for the linear framework of Universal Algebra with applications to transposed Poisson algebras}},
  author = {Changhuan Liu and Tingfeng Wan and Guodong Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14013},
  eprint = {2609.14013},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14013},
}
RIS
TY  - UNPB
TI  - Extending structures for the linear framework of Universal Algebra with applications to transposed Poisson algebras
AU  - Changhuan Liu
AU  - Tingfeng Wan
AU  - Guodong Zhou
PY  - 2026
DA  - 2026/09/12
PB  - arXiv
DO  - 10.48550/arxiv.2609.14013
UR  - https://arxiv.org/abs/2609.14013
AB  - We present a general study of extending structures in the linear framework of Universal Algebra, which unifies many existing results and contains applications to various Poisson type algebras including transposed Poisson algebras.
ER  -