Linear algebraic group
In mathematics, a linear algebraic group is a subgroup of the group of invertible n × n {\displaystyle n\times n} matrices (under matrix multiplication) that is defined by polynomial equations. An example is the orthogonal group, defined by the relation M T M = I n {\displaystyle M^{T}M=I_{n}} where M T {\displaystyle M^{T}} is the transpose of M {\displaystyle M} .