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adjoint
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
*Adjoint functors in category theory
*Hermitian adjoint (adjoint of a linear operator) in functional analysis
*For adjoint of a linear map, see transpose
*Adjoint representation of a Lie group
*Adjunction (category theory)
*Adjunction (field theory)
*Adjunction formula (algebraic geometry)
*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
*Kleisli adjunction
*Monoidal adjunction
*Quillen adjunction
*Axiom of adjunction in set theory
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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