Wikipedia:Articles for deletion/Quaternionic matrix: Difference between revisions
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::: Well, there are also many articles in the literature dealing with rational matrices, real matrices, and complex matrices, but would that be a sufficient reason to create articles "Rational matrix", "Real matrix" and "Complex matrix"? The argument about quantum mechanics seems equally spurious to me: if there is no mathematical theory underlying this ostensible application (with which I am not familiar) then it should be described within its natural context, i.e. in the article on whatever quantum mechanical phenomenon it is relevant to. [[User:Arcfrk|Arcfrk]] ([[User talk:Arcfrk|talk]]) 02:04, 3 September 2010 (UTC)
:::: As long as there is a specific literature on the subject, I would say yes. We have [[integer matrix]], and [[complex matrix]] seems a reasonable article to me, given some of the [http://scholar.google.com/scholar?q=%22complex+matrix%22 literature results] deal with specific algorithms about them. Make no mistake: even if I'm no expert I understand there can be reasons for a merge, but given that the current matrix ring article doesn't contain anything on the notable subcases, I'd keep the article for now and then work on a merge, rather than bluntly deleting it -the latter outcome does a disservice to readers. --[[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>]] 11:16, 3 September 2010 (UTC)
* '''Comment''' The so-called "Hamiltonian" product is simply the usual associative product of matrix multiplication. If an ''n''×''n'' quaternionic matrix is represented using a 2''n'' × 2''n'' complex matrix or a 4''n'' × 4''n'' real matrix with particular structure, the product of the two quaternionic matrices on this definition properly matches up with the corresponding usual matrix product of the complex matrices or real matrices representing it. I am not sure about the meaning of a quaternionic determinant, and how it would relate to the corresponding determinants of the corresponding complex or the real matrices, but this is something that the article could usefully discuss. We have articles on various forms of matrices with particular types of structure, so I don't see an objection to an article on these matrices, if there is something interesting to say about them.
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