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 may mean:
- Adjoint of an operator, in functional analysis
- Adjoint functors, in category theory
- Adjoint representation of a Lie group
- Adjoint endomorphism of a Lie algebra
- Adjoint curve, in the traditional treatment of coherent duality for a linear system of curves
- Conjugate transpose of a matrix in linear algebra
- Adjugate of a matrix, related to its inverse.
- 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
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