Classical Group
In mathematics, the classical Lie groups are four infinite families of Lie groups closely related to the symmetries of Euclidean spaces. Their finite analogues are the classical groups of Lie type. The term was coined by Hermann Weyl (as seen in the title of his 1939 monograph The Classical Groups).
Contrasting with the classical Lie groups are the exceptional Lie groups, which share their abstract properties, but not their familiarity.
Sometimes classical groups are discussed in the restricted setting of compact groups, a formulation which makes their representation theory and algebraic topology easiest to handle. It does however exclude the general linear group.
Read more about Classical Group: Relationship With Bilinear Forms, Classical Groups Over General Fields or Rings
Famous quotes containing the words classical and/or group:
“Several classical sayings that one likes to repeat had quite a different meaning from the ones later times attributed to them.”
—Johann Wolfgang Von Goethe (1749–1832)
“around our group I could hear the wilderness listen.”
—William Stafford (1914–1941)