Wikipedia:Articles for deletion/Inner and outer product algebras


 * The following discussion is an archived debate of the proposed deletion of the article below. Please do not modify it. Subsequent comments should be made on the appropriate discussion page (such as the article's talk page or in a deletion review).  No further edits should be made to this page.

The result was   delete. -- Cirt (talk) 01:02, 4 July 2010 (UTC)

Inner and outer product algebras

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No evidence of notablity of this concept per WP:N. The only reference given is a 2004 Master's thesis that does not appear to have been cited anywhere, according to MathSciNet and GoogleScholar. Also, seems to be a WP:COI case. The ref cited is by 'Cassamo, Claude Michael' and the page was created by User:Cloudmichael‎. Nsk92 (talk) 11:55, 27 June 2010 (UTC) Delete. The terms "outer product algebra" and "inner product algebra" are certainly used (see e.g. this book) but I don't see that this combination article is helpful. In any case, the content is WP:OR for Wikipedia purposes, since it relies on an unpublished thesis. -- Radagast 3 (talk) 02:04, 28 June 2010 (UTC)
 * Note: This debate has been included in the list of Science-related deletion discussions.  -- Favonian (talk) 11:58, 27 June 2010 (UTC)
 * In fact, my understanding is that the definition of an inner product algebra given in this article is significantly different from the definition in the book that you cite. The definition given in this WP article seems to be an analog of the standard notion of an inner product on a vector space. This definition appears to be mathematically reasonable, but not notable. Nsk92 (talk) 02:15, 28 June 2010 (UTC)
 * Which goes to show that simply googling the term tells us nothing. Perhaps the useful parts of the material here are already/could be covered in existing articles on vector spaces? — Preceding unsigned comment added by Radagast3 (talk • contribs)
 * Actually, there are already articles Inner product and Outer product about the standard notions for these terms. Nsk92 (talk) 12:00, 28 June 2010 (UTC)


 * Delete. For what it's worth, it appears as though both structures are just non-associative algebras. The inner product is commutative and the outer product is anticommutative.  Although surely they are well-studied as algebras, I am unaware of anyone calling them "inner and outer product algebras".  At any rate, this appears to be something of a misnomer, since the inner product is scalar-valued, but the product here is vector-valued.   Sławomir Biały  (talk) 01:46, 29 June 2010 (UTC)
 * Delete: Per notability criteria. Google books did turn up a few hits on "inner product algebra" and "outer product algebra" but I coundn't find anything to support the material in the article.--RDBury (talk) 18:32, 30 June 2010 (UTC)
 * Nsk92 pointed out that those ghits aren't necessarily for the same concept. -- Radagast 3 (talk) 06:30, 1 July 2010 (UTC)


 * I believe the terminology is all from the cited master's thesis, which is online . The thesis does not give any citations for the two terms in question, and it seems they are original in the thesis. If that's right, then I believe there hasn't been enough research on these topics to warrant an article at this time. We are generally very flexible in covering research topics on Wikipedia, but we would like to see several authors independently cover the topic, or at least a single author publish multiple independent papers on it. In this case, the only coverage appears to be in a single master's thesis. &mdash; Carl (CBM · talk) 11:20, 2 July 2010 (UTC)
 * The above discussion is preserved as an archive of the debate. Please do not modify it. Subsequent comments should be made on the appropriate discussion page (such as the article's talk page or in a deletion review). No further edits should be made to this page.