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Matrix bosonic realizations of a Lie colour algebra with three generators and five relations of Heisenberg Lie type
KTH.
Mälardalen University, School of Education, Culture and Communication. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2009 (English)In: Journal of Generalized Lie Theory and Applications, ISSN 1736-5279, E-ISSN 1736-4337, Vol. 3, no 4, p. 329-340Article in journal (Refereed) Published
Abstract [en]

We describe realizations of a Lie colour algebra with three generators and five relations by matrices of power series in noncommuting indeterminates satisfying Heisenberg's canonical commutation relation of quantum mechanics. The obtained formulas are used to construct new operator representations of this Lie colour algebra using canonical representation of the Heisenberg commutation relation and creation and annihilation operators of the quantum mechanical harmonic oscillator.

Place, publisher, year, edition, pages
2009. Vol. 3, no 4, p. 329-340
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22068DOI: 10.4303/jglta/S090406OAI: oai:DiVA.org:mdh-22068DiVA, id: diva2:679248
Available from: 2013-12-14 Created: 2013-10-23 Last updated: 2017-12-06Bibliographically approved

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Publisher's full texthttp://dx.doi.org/10.4303/jglta/S090406

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Silvestrov, S. D.

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