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HNN-Extension of Involutive Multiplicative Hom-Lie Algebras
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brazil.
2023 (English)In: Non-commutative and Non-associative Algebra and Analysis Structures: SPAS 2019, Västerås, Sweden, September 30 - October 2 / [ed] Sergei Silvestrov, Anatoliy Malyarenko, Springer , 2023, p. 791-804Conference paper, Published paper (Refereed)
Abstract [en]

The construction of HNN-extensions of involutive Hom-associative algebras and involutive Hom-Lie algebras is described. Then, as an application of HNN-extension, by using the validity of Poincaré-Birkhoff-Witt theorem for involutive Hom-Lie algebras, we provide an embedding theorem.
Place, publisher, year, edition, pages
Springer , 2023. p. 791-804
Series
Springer Proceedings in Mathematics and Statistics, ISSN 21941009 ; 426
Keywords [en]
HNN-extension, Hom-Lie algebra, Hom-associative algebra, Involution, Poincaré-Birkhoff-Witt theorem
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-64600DOI: 10.1007/978-3-031-32009-5_29Scopus ID: 2-s2.0-85174437328ISBN: 9783031320088 (print)OAI: oai:DiVA.org:mdh-64600DiVA, id: diva2:1808047
Conference
International Conference on Stochastic Processes and Algebraic Structures—From Theory Towards Applications, SPAS 2019, Västerås, Sweden, 30 September - 2 October 2019
Available from: 2023-10-30 Created: 2023-10-30 Last updated: 2023-12-27Bibliographically approved

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