Hamiltonian type Lie bialgebras

Mathematics – Rings and Algebras

Scientific paper

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LaTeX, 16 pages

Scientific paper

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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