adjoint

n. reorder of a matrix in which each element is replaced by its cofactor; adjunct, assistant

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 analysisAdjoint functors, in category theoryAdjoint representation of a Lie groupAdjoint endomorphism of a Lie algebraAdjoint curve, in the traditional treatment of coherent duality for a linear system of curvesConjugate transpose of a matrix in linear algebraAdjugate of a matrix, related to its inverse.The upper and lower adjoints of a Galois connection in order theoryFor the adjoint of a differential operator with general polynomial coefficients see differential operator
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adj. assistant, serving as an aid; auxiliary

n. deputy; assistant, adjunct; junior; one having a lower rank or position, new arrival

v. adjoin, be next to; be united, subjoin; add a note or comment at the end of a written or spoken statement

(n.)
An adjunct; a helper.
  

adjoint
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