- Look up
adjoint in Wiktionary, the free dictionary. In mathematics, the term
adjoint applies in
several situations.
Several of
these share a
similar formalism:...
- 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...
- {\displaystyle A} on an
inner product space defines a
Hermitian adjoint (or
adjoint)
operator A ∗ {\displaystyle A^{*}} on that
space according to the...
- 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...
- In mathematics, a self-
adjoint operator on a
complex vector space V with
inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } is a linear...
- 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...
-
classical adjoint of a
square matrix A, adj(A), is the
transpose of its
cofactor matrix. It is
occasionally known as
adjunct matrix, or "
adjoint", though...
- 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...
-
names for the
conjugate transpose of a
matrix are
Hermitian conjugate,
adjoint matrix or transjugate. The
conjugate transpose of a
matrix A {\displaystyle...
-
resulting in an
isomorphism between the
transpose and
adjoint of u. The
matrix of the
adjoint of a map is the
transposed matrix only if the
bases are...
