Heisenberg Lie Bialgebras as Central Extensions

摘要

We determine and study all Liebialgebra central extensions of R2n by R admitting the Heisenberg algebra H2n+1 asthe underlying Lie algebra structure. The presentwork answers the question about the realizability of Lie bialgebra structures on H2n+1 as central extensions of R2n endowed with the adapted Liebialgebra structure, by R.