English

Hamiltonian type Lie bialgebras

Rings and Algebras 2015-06-26 v9

Abstract

We first prove that, for any generalized Hamiltonian type Lie algebra LL, the first cohomology group H1(L,LL)H^1(L,L \otimes L) is trivial. We then show that all Lie bialgebra structures on LL are triangular.

Keywords

Cite

@article{arxiv.math/0605669,
  title  = {Hamiltonian type Lie bialgebras},
  author = {Bin Xin and Guang'ai Song and Yucai Su},
  journal= {arXiv preprint arXiv:math/0605669},
  year   = {2015}
}

Comments

LaTeX, 16 pages