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Matrix bosonic real...
Matrix bosonic realizations of a Lie colour algebra with three generators and five relations of Heisenberg Lie type
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- Sigurdsson, Gunnar (author)
- KTH
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- Silvestrov, S. D., 1970- (author)
- Mälardalens högskola,Akademin för utbildning, kultur och kommunikation,Mathematics/Applied Mathematics
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(creator_code:org_t)
- 2009
- 2009
- English.
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In: Journal of Generalized Lie Theory and Applications. - 1736-5279 .- 1736-4337. ; 3:4, s. 329-340
- Related links:
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http://dx.doi.org/10...
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https://urn.kb.se/re...
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https://doi.org/10.4...
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
Keyword
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Publication and Content Type
- ref (subject category)
- art (subject category)
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