Bosonic realizations of the colour Heisenberg Lie algebra

@inproceedings{Sigurdsson2006BosonicRO,
  title={Bosonic realizations of the colour Heisenberg Lie algebra},
  author={Gunnar Sigurdsson and Sergei D. Silvestrov},
  year={2006}
}
We describe realizations of the colour analogue of the Heisenberg Lie algebra by power series in non-commuting indeterminates satisfying Heisenberg's canonical commutation relations of quantum mechanics. The obtained formulas are used to construct new operator representations of the colour Heisenberg Lie algebra. These representations are shown to be closely connected with some combinatorial identities and functional difference-differential interpolation formulae involving Euler numbers. 

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