Twisted difference operator representations of deformed lie type commutation relations
2020 (English)In: Springer Proceedings in Mathematics and Statistics / [ed] Silvestrov S.,Malyarenko A.,Rancic M., Springer , 2020, Vol. 317, p. 553-573Conference paper, Published paper (Refereed)
Abstract [en]
Operator representations of deformed Lie type commutation relations, associated with group or semigroup actions of dynamical systems and iterated function systems are considered. In particular, it is shown that some multi-parameter deformed symmetric difference and multiplication operators satisfy these commutation relations. The operator representations are considered also in the context of twisted derivations. © Springer Nature Switzerland AG 2020.
Place, publisher, year, edition, pages
Springer , 2020. Vol. 317, p. 553-573
Series
Springer Proceedings in Mathematics & Statistics, ISSN 2194-1017, E-ISSN 2194-1009
Keywords [en]
Deformed commutation relations, Iterated function systems, Operator representations, Twisted derivations, Algebra, Dynamical systems, Random processes, Stochastic systems, Commutation relation, Difference operators, Iterated function system, Multiparameters, Multiplication operators, Semi-group, Symmetric difference, Quantum theory
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:bth-20268DOI: 10.1007/978-3-030-41850-2_23Scopus ID: 2-s2.0-85087530582ISBN: 9783030418496 (print)OAI: oai:DiVA.org:bth-20268DiVA, id: diva2:1457301
Conference
International Conference on Stochastic Processes and Algebraic Structures, SPAS 2017, Västerås and Stockholm, Sweden, 4 October 2017 through 6 October 2017
Funder
Sida - Swedish International Development Cooperation Agency, 23.10,23.132020-08-112020-08-112023-03-24Bibliographically approved