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Hom-Lie structures on 3-dimensional skew symmetric algebras
Mälardalens högskola, SWE.
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.ORCID iD: 0000-0003-3931-7358
Mälardalens högskola, SWE.
2019 (English)In: Journal of Physics: Conference Series, Institute of Physics Publishing (IOPP), 2019, Vol. 1416, article id 012025Conference paper, Published paper (Refereed)
Abstract [en]

We describe the dimension of the space of possible linear endomorphisms that turn skew-symmetric three-dimensional algebras into Hom-Lie algebras. We find a correspondence between the rank of a matrix containing the structure constants of the bilinear product and the dimension of the space of Hom-Lie structures. Examples from classical complex Lie algebras are given to demonstrate this correspondence.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2019. Vol. 1416, article id 012025
Series
Journal of Physics:Conference Series, ISSN 1742-6596 ; 1416
Keywords [en]
Hom-Lie algebras
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:bth-19022DOI: 10.1088/1742-6596/1416/1/012025OAI: oai:DiVA.org:bth-19022DiVA, id: diva2:1379925
Conference
XXVI International Conference on Integrable Systems and Quantum symmetries 8–12 July 2019, Prague, Czech Republic
Note

open access

Available from: 2019-12-17 Created: 2019-12-17 Last updated: 2020-02-06Bibliographically approved

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Hom-Lie structures on 3-dimensional skew symmetric algebras(573 kB)13 downloads
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Type fulltextMimetype application/pdf

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Publisher's full texthttps://iopscience.iop.org/article/10.1088/1742-6596/1416/1/012025

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Richter, Johan

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