Wikipedia:Articles for deletion/Quaternionic matrix: Difference between revisions

Content deleted Content added
Quaternionic matrix: re to Arcfrk: thanks + comments
Line 21:
 
* '''Delete'''. Quaternionic matrices, i.e. square matrices whose elements are quaternions, are well-known and useful objects — for example, the compact [[symplectic group]] is realized as the maximal compact subgroup of ''GL''(''n'','''H'''). However, we already have an article [[matrix ring]] which deals with matrices over an arbitrary associative ring and I simply do not see the need for duplicating the same material in the special case of quaternions. On the other hand, the so-called "Hamiltonian" and "Octonionic" products, whose description at present comprises all of the article under discussion, are non-standard and possibly OR. (It is hard to be certain and it would be difficult to sort out notability issues because, historically, quaternionists have behaved as a sect, with their own societies and journals, and the fruits of their studies are quite isolated from mainstream mathematics.) [[User:Arcfrk|Arcfrk]] ([[User talk:Arcfrk|talk]]) 04:07, 2 September 2010 (UTC)
::Thanks for the insightful comment. However I see in the literature many articles specifically dealing with quaternionic matrices, while the [[matrix ring]] article does not cite the special case of quaternionic matrices at all. It doesn't talk about eigenvalues, too, while there seems to be substantial literature about the problem of defining the eigenvalue of a quaternionic matrix. The article needs OR to be hashed out, but even if it is a special case, it seems a sourced one and therefore [[WP:GNG|notable]]. --[[User:Cyclopia|<font color="green">Cycl</font><big>o</big><font color="green">pia</font>]][[User talk:Cyclopia|<font color="red"><sup>talk</sup></font>]] 07:53, 2 September 2010 (UTC)