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- Sigurdsson, GunnarKTH (author)
Matrix bosonic realizations of a Lie colour algebra with three generators and five relations of Heisenberg Lie type
- Article/chapterEnglish2009
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- 2009
- printrdacarrier
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- LIBRIS-ID:oai:DiVA.org:mdh-22068
- https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-22068URI
- https://doi.org/10.4303/jglta/S090406DOI
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- Language:English
- Summary in:English
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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.
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- NATURVETENSKAP Matematik Algebra och logik hsv//swe
- NATURAL SCIENCES Mathematics Algebra and Logic hsv//eng
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
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- Silvestrov, S. D.,1970-Mälardalens högskola,Akademin för utbildning, kultur och kommunikation,Mathematics/Applied Mathematics(Swepub:mdh)ssv01 (author)
- KTHAkademin för utbildning, kultur och kommunikation (creator_code:org_t)
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- In:Journal of Generalized Lie Theory and Applications3:4, s. 329-3401736-52791736-4337
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