Talk:Classical group

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Mathematics rating:	B Class	High Priority	Field: Algebra
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Geometry guy 22:28, 16 June 2007 (UTC)

I strongly oppose merging "Matrix group" and "Classical Lie group". They are very different topics. A matrix group is any group of matrices. It may be finite, it may have coefficients in a finite field, it may be a topologically discrete subgroup of a classical Lie group, etc. A classical Lie group is a manifold with group structure; this gives it very particular properties. There are different questions and results that belong to the two topics. Zaslav 20:49, 26 March 2007 (UTC)

I think what is meant here is to merge the section on classical groups from the article "matrix groups" into this article, where it would fit better. Perhaps, the title would have to be changed to "Classical group". This would allow us to concentrate on the general properties of matrix (i.e. linear) groups in the Matrix group article, as opposed to descriptions of classical groups, as is presently the case. Arcfrk 22:08, 4 April 2007 (UTC)

[edit] Eh?

Copuls someone perhaps explain the relationship between these four groups and eucledian geometry? I note that one of them mentions "having a deteminant of 1", so it seems to be something to do withh affine transformations that preserve area. Maybe a few paragraphs pitched at a slightly easier level?