Category:Orthogonal Groups
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This category contains results about Orthogonal Groups.
Let $k$ be a field.
The ($n$th) orthogonal group (on $k$), denoted $\map {\mathrm O} {n, k}$, is the following subset of the general linear group $\GL {n, k}$:
- $\map {\mathrm O} {n, k} := \set {M \in \GL {n, k}: M^\intercal = M^{-1} }$
where $M^\intercal$ denotes the transpose of $M$.
Pages in category "Orthogonal Groups"
The following 5 pages are in this category, out of 5 total.