Levels and sublevels of composition algebras

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Title: Levels and sublevels of composition algebras
Authors: O'Shea, James
Permanent link: http://hdl.handle.net/10197/2472
Date: 2007
Abstract: Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given. In addition, octonion algebras of sublevel 3 are presented.
Funding Details: Irish Research Council for Science, Engineering and Technology
Type of material: Journal Article
Publisher: Elsevier
Keywords: Quadratic formLevelSublevelQuaternion algebraOctonion algebraTrace form
Subject LCSH: Quaternions
Forms, Quadratic
Cayley numbers (Algebra)
Forms (Mathematics)
DOI: 10.1016/S0019-3577(07)80012-7
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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