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Ternary q-Virasoro-...
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Ammar, F.Faculté des Sciences, Université de Sfax, Tunisia
(author)
Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras
- Article/chapterEnglish2010
Publisher, publication year, extent ...
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2010-06-04
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IOP Publishing,2010
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Numbers
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LIBRIS-ID:oai:DiVA.org:mdh-22062
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https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-22062URI
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https://doi.org/10.1088/1751-8113/43/26/265204DOI
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https://lup.lub.lu.se/record/1630987URI
Supplementary language notes
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
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In this paper we construct ternary q-Virasoro-Witt algebras which q-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using su(1, 1) enveloping algebra techniques. The ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos depend on a parameter and are not Nambu-Lie algebras for all but finitely many values of this parameter. For the parameter values for which the ternary Virasoro-Witt algebras are Nambu-Lie, the corresponding ternary q-Virasoro-Witt algebras constructed in this paper are also Hom-Nambu-Lie because they are obtained from the ternary Nambu-Lie algebras using the composition method. For other parameter values this composition method does not yield a Hom-Nambu-Lie algebra structure for q-Virasoro-Witt algebras. We show however, using a different construction, that the ternary Virasoro-Witt algebras of Curtright, Fairlie and Zachos, as well as the general ternary q-Virasoro-Witt algebras we construct, carry a structure of the ternary Hom-Nambu-Lie algebra for all values of the involved parameters.
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Makhlouf, A.Université de Haute Alsace, France
(author)
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Silvestrov, S. D.,1970-Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH,Mathematics/Applied Mathematics(Swepub:lu)math-ssi
(author)
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Faculté des Sciences, Université de Sfax, TunisiaUniversité de Haute Alsace, France
(creator_code:org_t)
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In:Journal of Physics A: IOP Publishing43:26, s. 265204-1751-81131751-8121
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