00000caa a22000003i 4500 UP-1685594773862388658 Buklod 20210323115724.0 m | | ta 210323s2019 xx r |||| u|eng d (iLib)UPBAG-00039569086 STII-DOST BAG rda eng ARTICLE-2839 Canlubo, Clarisson Rizzie author. Weak algebra bundles and associator varieties by Clarisson Rizzie P. Canlubo. 2019. pages 309-316 illustrations 26 cm text rdacontent unmediated rdamedia volume rdacarrier Includes bibliographical references (page 316) Algebra bundles, in the strict sense, appear in many areas of geometry and physics. However, the structure of an algebra is flexible enough to vary non-trivially over a connected base ? giving rise to a structure of a weak algebra bundle. We will show that the notion of a weak algebra bundle is more natural than that of a strict algebra bundle by illustrating that the classifying object of algebra bundles and, consequently, of weak algebra bundles is a weak algebra bundle. We will give necessary and sufficient conditions for weak algebra bundles to be locally trivial. The collection of non-trivial associative algebras of a fixed dimension forms a projective variety called associator varieties. We will show that these varieties play the role the Grassmannians play for principal O(n)-bundles. (Author's abstract) Mathematics. Algebra bundles. Associator varieties. Differential connections. The Philippine Journal of Science Vol. 148, no. 2, June 2019. Request full-text access via UPB University Library through https://forms.gle/KZjBv7aRtY6jiL5E9 (viewed 23 March 2021) FI UPBAG UPBAG-MAIN ARTICLE-2839 Analytics