Also called the _indefinite orthogonal group_, the [[Lie groups]], $\mbox{O}(n,k)$ are [subgroups](Lie%20groups.md#Lie%20subgroups) of [[GL(n;F)]]. #MathematicalFoundations/Algebra/AbstractAlgebra/GroupTheory/Lie/LieGroups/Algebras/LieAlgebras #MathematicalFoundations/Algebra/AbstractAlgebra/GroupTheory/Lie/LieGroups