algebraic group
group that is an algebraic variety
linear algebraic group
subgroup of the group of invertible n×n matrices
orthogonal group
mathematical group consisting of transformations of a Euclidean space which preserve distance and a fixed point
abelian variety
projective abelian algebraic group
projective linear group
construction in group theory
classical group
groups representable as matrix groups over a real division associative algebra (reals, complexes, or quaternions) that preserve a certain bilinear form (symmetric, skew-symmetric, Hermitian, skew-Hermitian, etc.)
general linear group
n x n invertible matrices over a ring
Euclidean group
isometry group of Euclidean space
algebraic torus
commutative affine algebraic group