Jiahao CHENG, Kexuan LI. The First Cohomology Groups and Modular Classes of a Family of Coboundary Generalized Lie Bialgebras[J]. Journal of nanchang hangkong university(Natural science edition), 2024, 38(4): 49-54. DOI: 10.3969/j.issn.2096-8566.2024.04.006
Citation: Jiahao CHENG, Kexuan LI. The First Cohomology Groups and Modular Classes of a Family of Coboundary Generalized Lie Bialgebras[J]. Journal of nanchang hangkong university(Natural science edition), 2024, 38(4): 49-54. DOI: 10.3969/j.issn.2096-8566.2024.04.006
shu

The First Cohomology Groups and Modular Classes of a Family of Coboundary Generalized Lie Bialgebras

    Abstract
  • By using the general theory of triangular generalized Lie bialgebroids and their modular classes, the first cohomology groups \mathitH^1\left(\mathfraks\mathfraku\left(2\right)^\mathbf*\times \mathbbR^\mathbb*,\mathbbR\right) and modular classes of a family of coboundary generalized Lie bialgebras ( \mathfraks\mathfraku\left(2\right)\times \mathbbR,\mathit\phi _0,\mathitP) are calculated.
    • FullText(HTML)
  • loading
    • References (13)
    • Relative Articles
  • Supplements (0)

Catalog

    Turn off MathJax
    Article Contents

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return