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https://hdl.handle.net/10316/43983| Title: | On identities of a Ternary Quaternion Algebra | Authors: | Beites, P. D. Nicolás, A. P. Pozhidaev, A. P. Saraiva, P. |
Keywords: | Composition algebra; Derivation; Enveloping algebra; Filippov algebra; Identity; Triple system. | Issue Date: | Mar-2011 | Publisher: | Taylor & Francis | Project: | FCT individual grant (first author): SFRH/BD/37907/2007 | Serial title, monograph or event: | Communications in Algebra | Volume: | 3 | Issue: | 39 | Place of publication or event: | London, UK | Abstract: | This article studies a simple 4-dimensional ternary algebra A which appears analogously to the quaternions from the Lie algebra sl_2. We describe the heights 1 and 2 identities, and the derivations of A. Based on A, some ternary enveloping algebras for ternary Filippov algebras are constructed. | URI: | https://hdl.handle.net/10316/43983 | ISSN: | 0092-7872 print/1532-4125 online | DOI: | 10.1080/00927871003601659 | Rights: | openAccess |
| Appears in Collections: | FEUC- Artigos em Revistas Internacionais |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| On identities_of_a_Ternary_Quaternion_Algebra.pdf | 20.66 MB | Adobe PDF | View/Open |
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