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The definition of the orthogonal group given here is FALSE. The orthogonal group is defined only over the real numbers. When defined over the complex numbers...

it seems plausible to suggest that the complex orthogonal groups are related to the unitary groups. If this is in any sense the case, should it not...

every orthogonal transformation is a rotation. " Please don't be sorry. Would you elaborate on this in the article? I was taught that an orthogonal transformation...

they try one then the other, or follow special orthogonal group and find themselves at orthogonal group and think the link broken. Second it's simply clutter;...

groups listed on the page. Third I believe the list can be increased to include "combinations" of these groups, such as the special orthogonal group and...

is the group of 4x4 matrices L with the property L^T g L = g where g is the diagonal matrix with diagonal elements -1, 1, 1, 1 (or -1, 1, 1, 1 if you...

group (M) acting on othogonal matrices (O), the group O is not stable because MO is not an orthogonal matrice in general. Then my initial bracket "possibly...

mathematical puzzle that illustrates a generalized version of Latin-square orthogonality. Cullinane 17:33, 14 August 2005 (UTC) User:Patrick made quite a few...

− 1 = a ∗ e = a {\displaystyle e*a*(a^{-1}*a)^{-1}=a*a^{-1}*a*(a^{-1}*a)^{-1}=a*e=a} , e = a − 1 ∗ a ∗ ( a − 1 ∗ a ) − 1 = a − 1 ∗ e ∗ a ∗ ( a − 1 ∗ a...

1979;3(Suppl 1):1-93 - Someone else 11:07, 16 Nov 2003 (UTC) Yeah, I saw that too, and I too have no immediate access to it. orthogonal 11:26, 16 Nov...

means the size of the conjugacy class. And there is a factor 1/|G| missing. And the orthogonality of rows was not actually stated. I've fixed these now. Paul...

fundamental class of Lie groups is given by classical groups such as orthogonal, unitary, symplectic and special linear groups." jraimbau (talk) 08:44...

the grounds that the latter is the orthogonal group, while the former is usually called special orthogonal group. In fact, even without reading the article...

meaning to include some examples of the most common lie groups GL(2,R), SL(2,R), Orthogonal group, so people new to the concept can have a bit of a gentler...

Black Death (which virus entered the cells in the same way AIDS does). orthogonal 06:37, 16 Nov 2003 (UTC) You're referring to people with variant (delta...

3D_rotation_group#Axis_of_rotation this might be just another 'orthogonal' group, since I'm proposing that using this rotation method, that all axii minus 1 are...

isometry. Thus in the orthogonal group of n×n matrices there are two disjoint connected components: the special orthogonal group, which contains the identity...

then? 200.154.215.124 01:58, 1 Apr 2004 (UTC) U(1,R) would be the group of all 1x1 orthogonal real matrices, i.e. the group {I, -I} consisting of just the...

orthogonal set of functions as well as e j 2 π ( m + 1 2 ) n N {\displaystyle e^{j2\pi {\frac {(m+{\frac {1}{2}})n}{N}}}} , but not e j 2 π ( m + 1 N...

eigenvalue 1 and vectors perpendicular to the line are eigenvectors with eigenvalue 0. Isn't that true only of orthogonal projections? Consider A = [ 0 0 1 1 ]...