The Centrally Extended Heisenberg Algebra and Its Connection with the Schroedinger, Galilei and Renormalized Higher Powers of Quantum White Noise Lie Algebras

In previous papers we have shown that the one mode Heisenberg algebra Heis(1) admits a unique non-trivial central extensions CeHeis(1) which can be realized as a sub-Lie-algebra of the Schroedinger algebra, in fact the Galilei Lie algebra. This gives a natural family of unitary representations of Ce...

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