mathematics, an element of a *-algebra is called unitary if it is invertible and its inverse element is the same as its adjoint element. Let A {\displaystyle...

Unitary operators are used in unitary representations. A unitary element is a generalization of a unitary operator. In a unital algebra, an element U...

Look up unitary in Wiktionary, the free dictionary. Unitary may refer to: Unitary divisor Unitary element Unitary group Unitary matrix Unitary morphism...

special unitary group of degree n, denoted SU(n), is the Lie group of n × n unitary matrices with determinant 1. The matrices of the more general unitary group...

Note that as mentioned in the introduction this is not necessarily a unitary element because one does not in general have that left inverse is a right inverse...

generated by partial isometries. The universal C*-algebra generated by a unitary element u has presentation ⟨ u ∣ u ∗ u = u u ∗ = 1 ⟩ {\displaystyle \langle...

one Hermitian B = B†, and the other unitary R† = R−1, such that L = B R . {\displaystyle L=BR.} The unitary element R is called a rotor because this encodes...

In quantum physics, unitarity is (or a unitary process has) the condition that the time evolution of a quantum state according to the Schrödinger equation...

Conversely, if u ∈ A U {\displaystyle u\in {\mathcal {A}}_{U}} is an unitary element, with the restriction that the spectrum is a proper subset of the unit...

which is called a C*-algebra. Every self-adjoint element of a a *-algebra is normal. Every unitary element of a a *-algebra is normal. If A {\displaystyle...

the unitary circular ensemble CUE(n) is the Haar measure on the unitary group U(n). If U is a random element of CUE(n), then UTU is a random element of...

distributive over the addition operation, and has a multiplicative identity element. (Some authors apply the term ring to a further generalization, often called...

which every element x in S has a unique inverse y in S in the sense that x = xyx and y = yxy, i.e. a regular semigroup in which every element has a unique...

In mathematics, the projective unitary group PU(n) is the quotient of the unitary group U(n) by the right multiplication of its center, U(1), embedded...

# Input /// ## unitaryGenerator /// A tuple where the first element `Int` is the number of unitaries $N$, /// and the second element `(Int -> ('T =>...

infinite. The order of an element of a group (also called period length or period) is the order of the subgroup generated by the element. If the group operation...

> 0. Then eihx gives a unitary representation of R in A, continuous in the strong operator topology and hence a unitary element W of A ⊗ L∞(R), acting...

comparison with the unitary state. France and Japan, for example, have been unitary for many centuries. The Austrian Empire was a unitary state with crown...

its headquarters at County Hall in Trowbridge. Since 2009 it has been a unitary authority, being a county council which also performs the functions of...

bundle over the classifying space B U ( n ) {\displaystyle BU(n)} of the unitary group U ( n ) {\displaystyle U(n)} . The natural inclusion from U ( n )...

spaces over the field of complex numbers are sometimes referred to as unitary spaces. The first usage of the concept of a vector space with an inner...

by a single element. That is, it is a set of invertible elements with a single associative binary operation, and it contains an element g such that every...

and Ledbury (8,862). For local government purposes Herefordshire is a unitary authority area. The centre of Herefordshire is lowland which is crossed...

the center of a group G is the set of elements that commute with every element of G. It is denoted Z(G), from German Zentrum, meaning center. In set-builder...

{\displaystyle \mathbb {R} } or C {\displaystyle \mathbb {C} } The unitary groups and special unitary groups, U ⁡ ( n , C ) {\displaystyle \operatorname {U} (n...

manifold for Sp(2n, R) is diffeomorphic to the Cartesian product of the unitary group U(n) with a vector space of dimension n(n+1). The members of the...

every finite-dimensional projective unitary representation of G {\displaystyle G} arises from an ordinary unitary representation of G ~ {\displaystyle...

exists a unitary matrix U such that UAU∗ is diagonal). Furthermore, the singular value decomposition implies that for any matrix A, there exist unitary matrices...

group SO(n) and its covering spin group Spin(n), the unitary group U(n) and the special unitary group SU(n), the compact forms of the exceptional Lie...

This index counts the number of real components per matrix element. The Gaussian unitary ensemble GUE ( n ) {\displaystyle {\text{GUE}}(n)} is described...