Structure theorem for Jordan algebra bundles
Purpose – The aims of this paper is to prove that every semisimple Jordan algebra bundle is locally trivial and establish the decomposition theorem for locally trivial Jordan algebra bundles using the decomposition theorem of Lie algebra bundles. Design/methodology/approach – Using the decomposition...
| Published in: | Arab Journal of Mathematical Sciences |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Emerald Publishing
2024-07-01
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| Subjects: | |
| Online Access: | https://www.emerald.com/insight/content/doi/10.1108/AJMS-08-2022-0186/full/pdf |
| _version_ | 1850032438771712000 |
|---|---|
| author | Ranjitha Kumar |
| author_facet | Ranjitha Kumar |
| author_sort | Ranjitha Kumar |
| collection | DOAJ |
| container_title | Arab Journal of Mathematical Sciences |
| description | Purpose – The aims of this paper is to prove that every semisimple Jordan algebra bundle is locally trivial and establish the decomposition theorem for locally trivial Jordan algebra bundles using the decomposition theorem of Lie algebra bundles. Design/methodology/approach – Using the decomposition theorem of Lie algebra bundles, this paper proves the decomposition theorem for locally trivial Jordan algebra bundles. Findings – Findings of this paper establish the decomposition theorem for locally trivial Jordan algebra bundles. Originality/value – To the best of the author’s knowledge, all the results are new and interesting to the field of Mathematics and Theoretical Physics community. |
| format | Article |
| id | doaj-art-e01b4e44f59c4bb59c6448deea96ad42 |
| institution | Directory of Open Access Journals |
| issn | 1319-5166 2588-9214 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Emerald Publishing |
| record_format | Article |
| spelling | doaj-art-e01b4e44f59c4bb59c6448deea96ad422025-08-20T00:35:30ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662588-92142024-07-0130225626110.1108/AJMS-08-2022-0186Structure theorem for Jordan algebra bundlesRanjitha Kumar0Department of Mathematics, REVA University, Bengaluru, IndiaPurpose – The aims of this paper is to prove that every semisimple Jordan algebra bundle is locally trivial and establish the decomposition theorem for locally trivial Jordan algebra bundles using the decomposition theorem of Lie algebra bundles. Design/methodology/approach – Using the decomposition theorem of Lie algebra bundles, this paper proves the decomposition theorem for locally trivial Jordan algebra bundles. Findings – Findings of this paper establish the decomposition theorem for locally trivial Jordan algebra bundles. Originality/value – To the best of the author’s knowledge, all the results are new and interesting to the field of Mathematics and Theoretical Physics community.https://www.emerald.com/insight/content/doi/10.1108/AJMS-08-2022-0186/full/pdfJordan algebra bundleLie algebra bundleVector bundle |
| spellingShingle | Ranjitha Kumar Structure theorem for Jordan algebra bundles Jordan algebra bundle Lie algebra bundle Vector bundle |
| title | Structure theorem for Jordan algebra bundles |
| title_full | Structure theorem for Jordan algebra bundles |
| title_fullStr | Structure theorem for Jordan algebra bundles |
| title_full_unstemmed | Structure theorem for Jordan algebra bundles |
| title_short | Structure theorem for Jordan algebra bundles |
| title_sort | structure theorem for jordan algebra bundles |
| topic | Jordan algebra bundle Lie algebra bundle Vector bundle |
| url | https://www.emerald.com/insight/content/doi/10.1108/AJMS-08-2022-0186/full/pdf |
| work_keys_str_mv | AT ranjithakumar structuretheoremforjordanalgebrabundles |