Bosonic realizations of the color analogue of the Heisenberg Lie algebra

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dc.creatorSigurdsson, Gunnar
dc.creatorSilvestrov, Sergei D.
dc.date2003-11-12
dc.date.accessioned2026-07-07T05:02:50Z
dc.date.available2026-07-07T05:02:50Z
dc.descriptionWe describe realizations of the color 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 color analogue of the Heisenberg Lie algebra. These representations are shown to be closely connected with some combinatorial identities and functional difference-differential interpolation formulae involving Euler, Bernoulli and Stirling numbers.
dc.description48 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0311204
dc.identifierhttp://arxiv.org/abs/math/0311204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69170
dc.subjectQuantum Algebra
dc.subject17B75
dc.titleBosonic realizations of the color analogue of the Heisenberg Lie algebra
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