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Hamiltonian type Lie bialgebras

Bin Xin, Guang'ai Song, Yucai Su

math.RAarXiv:math/0605669

Abstract

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

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