Centralizers in pbw extensions
2020 (English)In: Springer Proceedings in Mathematics and Statistics / [ed] Silvestrov S.,Malyarenko A.,Rancic M., Springer , 2020, Vol. 317, p. 469-490Conference paper, Published paper (Refereed)
Abstract [en]
In this article we give a description for the centralizer of the coefficient ring R in the skew PBW extension σ (R)<x1, x2, ..., xn>. We give an explicit description in the quasi-commutative case and state a necessary condition in the general case. We also consider the PBW extension σ (A)<x1, x2, ..., xn> of the algebra of functions with finite support on a countable set, describing the centralizer of A and the center of the skew PBW extension. © Springer Nature Switzerland AG 2020.
Place, publisher, year, edition, pages
Springer , 2020. Vol. 317, p. 469-490
Series
Springer Proceedings in Mathematics & Statistics, ISSN 2194-1017, E-ISSN 2194-1009
Keywords [en]
Center, Contralizer, Ring extensions, Skew PBW extensions, Random processes, Stochastic systems, Countable set, Finite supports, Algebra
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:bth-20271DOI: 10.1007/978-3-030-41850-2_20Scopus ID: 2-s2.0-85087528403ISBN: 9783030418496 (print)OAI: oai:DiVA.org:bth-20271DiVA, id: diva2:1457345
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
Note
Open access
2020-08-112020-08-112023-03-24Bibliographically approved