In mathematics, the term * adjoint* applies in several situations. Several of these share a similar formalism: if

*A*is adjoint to

*B*, then there is typically some formula of the type

- (
*Ax*,*y*) = (*x*,*By*).

Specifically, **adjoint** or **adjunction** may mean:

- Adjoint endomorphism of a Lie algebra
- Adjunction (field theory)
- Adjoint functors in category theory
- Hermitian adjoint (adjoint of a linear operator) in functional analysis
- Adjoint representation of a Lie group
- Adjunction space in topology
- Conjugate transpose of a matrix in linear algebra
- Adjugate matrix, related to its inverse
- Adjoint equation
- The upper and lower adjoints of a Galois connection in order theory
- For the adjoint of a differential operator with general polynomial coefficients see differential operator

Related Subjects

Related Phrases

Related Words