Bilinear maps

Algebra on a field

The cross product

Lie groups

Lie algebra

Lie brackets

Commutation of Lie groups

Lie algebra of \(O(n)\)

Lie algebra of \(U(n)\)

Lie algebra of \(SO(n)\)

Lie algebra of \(SU(n)\)

Hypercomplex numbers

Quaternions

Clifford algebra

Projective line in the field