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Generalized W-type and H-type algebras

Ki-Bong Nam
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Abstract

It is well known that the Poisson Lie algebra is isomorphic to the Hamiltonian Lie algebra. We show that the Poisson Lie algebra can be embedded properly in the special type Lie algebra. We also generalize the Hamiltonian Lie algebra using exponential functions, and we show that these Lie algebras are simple.

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Ki-Bong Nam. 1997-12-30. Generalized W-type and H-type algebras. https://arxiv.org/abs/math/9712294

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