Linear algebraic group
id:
linear-algebraic-group-276-7054445
title:
Linear algebraic group
text:
In mathematics, a linear algebraic group is a subgroup of the group of invertible n × n matrices that is defined by polynomial equations. An example is the orthogonal group, defined by the relation M T M = I n where M T is the transpose of M . Many Lie groups can be viewed as linear algebraic groups over the field of real or complex numbers. The simple Lie groups were classified by Wilhelm Killing and Élie Cartan in the 1880s and 1890s. At that time, no special use was made of the fact that the
brand slug:
wiki
category slug:
encyclopedia
description:
Subgroup of the group of invertible n×n matrices
original url:
https://en.wikipedia.org/wiki/Linear_algebraic_group
date created:
date modified:
2024-01-10T20:12:18Z
main entity:
{"identifier":"Q6553407","url":"https://www.wikidata.org/entity/Q6553407"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5f/Cyclic_group.svg","width":443,"height":431}
fields total:
13
integrity:
15