- Look up
adjoint in Wiktionary, the free dictionary. In mathematics, the term
adjoint applies in
several situations.
Several of
these share a
similar formalism:...
- A{\displaystyle A} on an
inner product space defines a
Hermitian adjoint (or
adjoint)
operator A∗{\displaystyle A^{*}} on that
space according to the...
- In mathematics, a self-
adjoint operator on an infinite-dimensional
complex vector space V with
inner product ⟨⋅,⋅⟩{\displaystyle \langle \cdot ,\cdot...
- mathematics, an
element of a *-algebra is
called self-
adjoint if it is the same as its
adjoint (i.e. a=a∗{\displaystyle a=a^{*}}). Let A{\displaystyle...
- this
relationship are
known as
adjoint functors, one
being the left
adjoint and the
other the
right adjoint.
Pairs of
adjoint functors are
ubiquitous in mathematics...
- In mathematics, the
adjoint representation (or
adjoint action) of a Lie
group G is a way of
representing the
elements of the
group as
linear transformations...
- In
quantum field theory, the
Dirac adjoint defines the dual
operation of a
Dirac spinor. The
Dirac adjoint is
motivated by the need to form well-behaved...
- In mathematics, an
adjoint bundle is a
vector bundle naturally ****ociated to any prin****l bundle. The
fibers of the
adjoint bundle carry a Lie algebra...
-
known as
adjunct matrix, or "
adjoint",
though the
latter term
today normally refers to a
different concept, the
adjoint operator which for a
matrix is...
-
names for the
conjugate transpose of a
matrix are
Hermitian conjugate,
adjoint matrix or transjugate. The
conjugate transpose of a
matrix A{\displaystyle...
