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

Revision as of 17:32, 2 September 2010

Revision as of 02:04, 3 September 2010

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::Quaternionic matrices seem to have specific application in quantum mechanics that wouldn't be captured in a more generic article. Also, I don't think we should assume that everyone who might be interested in this is going to be familiar with more abstract ideas such as associated algebras.--[[User:RDBury|RDBury]] ([[User talk:RDBury|talk]]) 15:32, 2 September 2010 (UTC)

::: 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)

* '''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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*'''Weak Keep''': For reasons given in my comments above. The article has severe problems and it might be better to start over from scratch, but I think some of the material is salvageable.--[[User:RDBury|RDBury]] ([[User talk:RDBury|talk]]) 15:32, 2 September 2010 (UTC)

::I took a stab at getting the article to at least the stub level of quality. This was based on a single reference so I'm pretty sure more could be added.--[[User:RDBury|RDBury]] ([[User talk:RDBury|talk]]) 17:18, 2 September 2010 (UTC)

::: Sorry, but that just kicks the can down the road, because all it does is create a quaternionic content fork for [[Matrix ring]]. In my opinion (also expressed at the talk page), it would be far better to add the relevant material there directly and to delete or redirect the page under discussion. [[User:Arcfrk|Arcfrk]] ([[User talk:Arcfrk|talk]]) 02:04, 3 September 2010 (UTC)