In mathematics, the 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...

subgroup of the general linear group GL(n, C), and it has as a subgroup the special unitary group, consisting of those unitary matrices with determinant 1...

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...

the group PU(V) is the image of the unitary group U(V) in the automorphism group of the projective space P(V). The projective special unitary group PSU(n)...

simply connected Lie group as matrix groups. Ar has as its associated simply connected compact group the special unitary group, SU(r + 1) and as its...

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...

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...

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...

Projective unitary group, PU Projective special orthogonal group, PSO – maximal compact subgroup of PSL Projective special unitary group, PSU The projective...

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 unitary...

of matrices with determinant 1: Special linear group Special orthogonal group Special unitary group Special affine group This disambiguation page lists...

}\cdot I_{n}\mid \theta \in [0,2\pi )\right\}} . The center of the special unitary group, SU ⁡ ( n ) {\displaystyle \operatorname {SU} (n)} is { e i θ ⋅...

linear group with the Galois group of field automorphisms. For example, PΣU is used for the semilinear analogs of the projective special unitary group PSU...

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...

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

{\displaystyle {\mathfrak {su}}(2)} , which exponentiates to the special unitary group SU(2). The algebra generated by the three matrices σ1, σ2, σ3 is...

privileged computer user account Special unitary group, a term used in algebra, SU(n) the corresponding Special unitary group § Lie algebra, s u ( n ) {\displaystyle...

special linear matrix can be written as the product of a special unitary matrix (or special orthogonal matrix in the real case) and a positive definite...

Yang–Mills theory is a gauge theory based on a special unitary group SU(n), or more generally any compact Lie group. A Yang–Mills theory seeks to describe the...

the Euclidean group E(n). The isometry group of the Poincaré disc model of the hyperbolic plane is the projective special unitary group PSU(1,1). The...

functional analysis, a unitary operator is a surjective bounded operator on a Hilbert space that preserves the inner product. Unitary operators are usually...

Classifying space for special unitary group BSU {\displaystyle \operatorname {BSU} } , Classifying space for infinite special unitary group Baku State University...

projective special linear group. PNT – prime number theorem. PRP – probable prime. PSO – projective orthogonal group. PSU – projective special unitary group. PU...

group of orientation preserving isometries of the disk model is given by the projective special unitary group PSU(1,1), the quotient of the special unitary...

dimensions, the rotation action can also be viewed through the special unitary group SU(2). For a fixed r, versors of the form   exp ⁡ ( a   r )   {\displaystyle...

space BSU ⁡ ( n ) {\displaystyle \operatorname {BSU} (n)} for the special unitary group SU ⁡ ( n ) {\displaystyle \operatorname {SU} (n)} is the base space...

the same universal cover. For instance, the special orthogonal group SO(3) and the special unitary group SU(2) have isomorphic Lie algebras, but SU(2)...

transformations, or unitary operators on some Hilbert space; it has a variety of representations. This group is significant because special relativity together...

the complex numbers. They are a double cover of special orthogonal group SO(8). The special unitary group SO(3) has an eight-dimensional adjoint representation...

covering group of the restricted Lorentz group SO+(1, 3). By restriction, there is a homomorphism SU(2) → SO(3). Here, the special unitary group SU(2),...