Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra

Haibo Chen; Ran Shen; Jiangang Zhang

Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra

Quantum Algebra 2012-10-30 v1 Mathematical Physics math.MP

Authors: Haibo Chen , Ran Shen , Jiangang Zhang

Abstract

In this paper, Lie bialgebra structures on generalized Heisenberg-Virasoro algebra $\mathfrak{L}$ are considered. Also, $H^1({\mathfrak{L}} ,\mathfrak{L}\bigotimes\mathfrak{L})$ is given explicitly. Moreover, it is proved that all Lie bialgebra structure on centerless generalized Heisenberg-Virasoro algebra $\bar{\mathfrak{L}}$ are coboundary triangular.

Keywords

lie bialgebra generalized heisenberg-virasoro algebra cohomology coboundary triangular structure centerless algebra

Cite

@article{arxiv.1210.7289,
  title  = {Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra},
  author = {Haibo Chen and Ran Shen and Jiangang Zhang},
  journal= {arXiv preprint arXiv:1210.7289},
  year   = {2012}
}

Comments

14 pages. arXiv admin note: text overlap with arXiv:math/0512555 by other authors

Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra

Abstract

Keywords

Cite

Comments

Related papers