Classification of the finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity
2010 (English)In: Bulletin des Sciences Mathématiques, ISSN 0007-4497, Vol. 134, no 3, 247-277 p.Article in journal (Refereed) Published
An absolute valued algebra is a non-zero real algebra that is equipped with a multiplicative norm. We classify all finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity, up to algebra isomorphism. This completes earlier results of Ramírez Álvarez and Rochdi which, in our self-contained presentation, are recovered from the wider context of composition k-algebras with an LR-bijective idempotent.
Place, publisher, year, edition, pages
2010. Vol. 134, no 3, 247-277 p.
Composition algebra, Absolute valued algebra, e-Quadratic algebra, Classification, Normal form
IdentifiersURN: urn:nbn:se:uu:diva-97998DOI: 10.1016/j.bulsci.2009.03.001ISI: 000276938900003OAI: oai:DiVA.org:uu-97998DiVA: diva2:173148