Misplaced Pages

This is an old revision of this page, as edited by Deltahedron (talk | contribs) at 20:09, 28 April 2013 (That seems an odd reason. "Hurwitz algebra" is ''synonymous'' with "composition algebra"). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

Redirect to Composition algebra

I have changed the redirect as there was already an article on this topic. Deltahedron (talk) 19:18, 28 April 2013 (UTC)

I am aware of that article and aware that is inadequate. If it were rewritten to have some reasonable content, then it might be OK. In this case a number of articles related to Jordan algebras have been produced. Many, perhaps most, are superficial, with inadequate content or sets of references. I made the decision to place the new content in Hurwitz's theorem (composition algebras) (and elsewhere in Symmetric cone). It is fairly complete and taken principally from 4 or 5 major sources. (Some of the material/reference are merged from another article.) As an application, it contains a complete proof of the construction of the Albert algebra for the octonions, i.e. the exceptional Jordan algebra. It contains 3 proofs of the 1, 2, 4, 8 theorem. The material was needed in this form so that it could be used for Hermitian symmetric spaces and bounded symmetric domains, one of the main applications (due to Max Koecher and his school). Mathsci (talk) 19:48, 28 April 2013 (UTC)

That seems an odd reason. "Hurwitz algebra" is synonymous with "composition algebra": although some authors distinguish them by requiring that Hurwitz algebras be unital but not composition algebras. Not to redirect a title to the synonymous topic seems wrong. As to whether the article Composition algebra is adequate or not, that is another issue. I have been looking at it again recently, but it would be more helpful to say what you think might be wrong with it at Talk:Composition algebra, not here, and in some detail please (in particular why you think it has "no content" when it plainly does). It may be worth noting that decisions are made by Misplaced Pages:Consensus not by individuals. Deltahedron (talk) 20:09, 28 April 2013 (UTC)