Hamiltonian type Lie bialgebras
classification
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keywords
firsthamiltoniantypealgebrabialgebrabialgebrascohomologygeneralized
read the original abstract
We first prove that, for any generalized Hamiltonian type Lie algebra $L$, the first cohomology group $H^1(L,L \otimes L)$ is trivial. We then show that all Lie bialgebra structures on $L$ are triangular.
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