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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)』 ■ウィキペディアで「Adjoint」の詳細全文を読む
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