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Reordering in a multi-parametric family of algebras
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Department of Mathematics and Statistics, University of Zambia, Zambia.ORCID iD: 0000-0001-7682-870x
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.ORCID iD: 0000-0003-3931-7358
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.ORCID iD: 0000-0003-4554-6528
2019 (English)In: Journal of Physics: Conference Series, Institute of Physics Publishing , 2019, no 1Conference paper, Published paper (Refereed)
Abstract [en]

This article is devoted to a multi-parametric family of associative complex algebras defined by commutation relations associated with group or semigroup actions of dynamical systems and iterated function systems. General reordering and nested commutator formulas for arbitrary elements in these families are presented, generalizing some well-known results in mathematics and physics. A generalization of this family in three generators is also considered.

Place, publisher, year, edition, pages
Institute of Physics Publishing , 2019. no 1
Keywords [en]
Dynamical systems, Commutation relation, Complex algebra, Iterated function system, Parametric family, Semi-group, Group theory
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-43501DOI: 10.1088/1742-6596/1194/1/012078Scopus ID: 2-s2.0-85065575670OAI: oai:DiVA.org:mdh-43501DiVA, id: diva2:1322928
Conference
32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018, 9 July 2018 through 13 July 2018
Note

Conference code: 147785; Export Date: 24 May 2019; Conference Paper

Available from: 2019-06-11 Created: 2019-06-11 Last updated: 2019-06-11Bibliographically approved

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Musonda, JohnRichter, JohanSilvestrov, Sergei

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