unitary group of degree n, denoted U(n), is the group of n × n unitary matrices, with the group operation of matrix multiplication. The unitary group...

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...

symplectic group, Sp(2n, R), on the phase space. Hamiltonian mechanics Metaplectic group Orthogonal group Paramodular group Projective unitary group Representations...

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...

orthogonal group SO(n) Orthogonal matrix Semi-orthogonal matrix Quantum logic gate Special Unitary group SU(n) Symplectic matrix Unitary group U(n) Unitary operator...

mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π(g) is a unitary operator for...

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

Graphical unitary group approach (GUGA) is a technique used to construct Configuration state functions (CSFs) in computational quantum chemistry. As reflected...

rotation group SO(3) (or its double cover SU(2)), the special unitary group SU(3) and the Poincaré group. On a "global" level, whenever a Lie group acts on...

In mathematics, Stone's theorem on one-parameter unitary groups is a basic theorem of functional analysis that establishes a one-to-one correspondence...

usual construction of the unitary group from the general linear group. The unitary group arises as follows: the general linear group over the complex numbers...

Lie group, for example, the special unitary group SU(n), and let Γ be a finite subgroup of G. Then the homogeneous space X = G/Γ has fundamental group Γ...

Antiunitary Orthogonal transformation Time reversal Unitary group Unitary operator Unitary matrix Wigner's theorem Unitary transformations in quantum mechanics...

group T and the torus groups Tn, the orthogonal group O(n), the special orthogonal group SO(n) and its covering spin group Spin(n), the unitary group...

map into the group of unitary operators. If G is a compact Lie group, every finite-dimensional representation is equivalent to a unitary one. Each representation...

the Lorentz group O(3,1) is a symmetry group of spacetime of special relativity. The special unitary group SU(3) is the symmetry group of quantum chromodynamics...

rotations, reflections, and the Fourier operator. Unitary operators generalize unitary matrices. Unitary operators are usually taken as operating on a Hilbert...

trick (or unitary trick) is a device in the representation theory of Lie groups, introduced by Adolf Hurwitz (1897) for the special linear group and by Hermann...

group of unitary symplectic matrices, Sp(r) and as its associated centerless group the Lie group PSp(r) = Sp(r)/{I, −I} of projective unitary symplectic...

including the symmetry groups of regular polyhedra). A (complex) reflection r (sometimes also called pseudo reflection or unitary reflection) of a finite-dimensional...

−In} when n is even, and trivial when n is odd. The center of the unitary group, U ( n ) {\displaystyle U(n)} is { e i θ ⋅ I n ∣ θ ∈ [ 0 , 2 π ) } {\displaystyle...

Heisenberg Group". Lectures on the Orbit Method. American Mathematical Society. ISBN 0-8218-3530-0. Mackey, George (1976). The theory of Unitary Group Representations...

t-design is a probability distribution over either pure quantum states or unitary operators which can duplicate properties of the probability distribution...

requires unitary group filings for United States corporations only. Under the unitary concept, all commonly controlled corporations within the unitary management...

evaluated them explicitly for the unitary group. Weingarten functions are used for evaluating integrals over the unitary group Ud of products of matrix coefficients...

In mathematics, the classifying space for the unitary group U(n) is a space BU(n) together with a universal bundle EU(n) such that any hermitian bundle...

maximal compact subgroup, the unitary group U of H. The proof that the complex general linear group and unitary group have the same homotopy type is...

of Lie group topics, by Wikipedia page. See Table of Lie groups for a list General linear group, special linear group SL2(R) SL2(C) Unitary group, special...

between self-adjoint operators and (strongly continuous) one-parameter unitary groups. Let Q and P be two self-adjoint operators satisfying the canonical...

subgroup is the unitary group U ⁡ ( n ) {\displaystyle \operatorname {U} (n)} . As for U ⁡ ( n ) {\displaystyle \operatorname {U} (n)} , the group manifold GL...