Structure theorem for Jordan algebra bundles

PurposeThe 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/approachUsing the decomposition theorem of Lie algebra bundles, this paper proves the decomposition theorem for locally trivial Jordan algebra bundles.FindingsFindings of this paper establish the decomposition theorem for locally trivial Jordan algebra bundles.Originality/valueTo the best of the author’s knowledge, all the results are new and interesting to the field of Mathematics and Theoretical Physics community.