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

### Other articles related to "adjoint":

Closed Operator -

... The

**Adjoint**... The

**adjoint**of an unbounded operator can be defined in two equivalent ways ... it can be defined in a way analogous to how we define the**adjoint**of a bounded operator ... Namely, the**adjoint**T∗ H2 → H1 of T is defined as an operator with the property More precisely, T∗ is defined in the following way ...La Goutelle - Administration

... The mayor is Jean BOUCHERET, 1nd

... The mayor is Jean BOUCHERET, 1nd

**Adjoint**Maurice MARTIN, 2rd**Adjoint**Jean-Francois MARCHEIX and 3rd**Adjoint**Stephane NEBUS ... The Maire-**Adjoint**, Michel BONNAFOUX, resigned in somewhat acrimonious circustances in 2009 ...Tensor-hom Adjunction

... adjunction is that the tensor product and Hom functors and form an

... adjunction is that the tensor product and Hom functors and form an

**adjoint**pair This is made more precise below ... The order "tensor-hom adjunction" is because tensor is the left**adjoint**, while hom is the right**adjoint**...Multipliers And Centralizers (Banach Spaces) - Definitions

... to be a multiplier if every point p in Ext(X) is an eigenvector for the

... to be a multiplier if every point p in Ext(X) is an eigenvector for the

**adjoint**operator T∗ X∗ → X∗ ... a function aT Ext(X) → K such that Given two multipliers S and T on X, S is said to be an**adjoint**for T if i.e ... of X, denoted Z(X), is the set of all multipliers on X for which an**adjoint**exists ...Main Site Subjects

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