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searching for Special unitary group 18 found (104 total)

Poincaré disk model (3,970 words) [view diff] exact match in snippet view article find links to article

disk model is given by the projective special unitary group PSU(1,1), the quotient of the special unitary group SU(1,1) by its center {I, −I}. Along with

Semilinear map (2,059 words) [view diff] exact match in snippet view article find links to article

example, PΣU is used for the semilinear analogs of the projective special unitary group PSU. Note however, that it is only recently noticed that these generalized

Fundamental representation (475 words) [view diff] exact match in snippet view article find links to article

are exterior products of the defining module. In the case of the special unitary group SU(n), the n − 1 fundamental representations are the wedge products

Pauli matrices (7,429 words) [view diff] exact match in snippet view article find links to article

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

Isometry group (476 words) [view diff] exact match in snippet view article find links to article

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

Quiver diagram (415 words) [view diff] exact match in snippet view article find links to article

This can be the unitary group U ( N ) {\displaystyle U(N)} , the special unitary group S U ( N ) {\displaystyle SU(N)} , special orthogonal group S O (

Unit disk (940 words) [view diff] exact match in snippet view article find links to article

the model. The model includes motions which are expressed by the special unitary group SU(1,1). The disk model can be transformed to the Poincaré half-plane

3-transposition group (3,468 words) [view diff] exact match in snippet view article find links to article

(2^{n}-(-1)^{n})} The projective special unitary group PSUn(2) is the quotient of the special unitary group SUn(2) by the subgroup M of all the scalar

Tutte 12-cage (616 words) [view diff] exact match in snippet view article find links to article

of order 12,096 and is a semi-direct product of the projective special unitary group PSU(3,3) with the cyclic group Z/2Z. It acts transitively on its

Hoffman–Singleton graph (1,211 words) [view diff] exact match in snippet view article find links to article

isomorphic to PΣU(3,52) the semidirect product of the projective special unitary group PSU(3,52) with the cyclic group of order 2 generated by the Frobenius

Split-quaternion (3,202 words) [view diff] exact match in snippet view article find links to article

matrices of quaternions of norm 1 are exactly the elements of the special unitary group SU(1,1). This is used for in hyperbolic geometry for describing

Hyperbolic motion (1,233 words) [view diff] exact match in snippet view article find links to article

with aa* − bb* = 1, which is an element of the special unitary group SU(1,1). Miles Reid & Balázs Szendröi (2005) Geometry and Topology

Fake projective plane (1,480 words) [view diff] exact match in snippet view article find links to article

form on a module over D of dimension 1 or 3 such that G is the special unitary group of this Hermitian form. (As a consequence of Prasad & Yeung (2007)

Physics beyond the Standard Model (5,521 words) [view diff] exact match in snippet view article find links to article

model symmetries. Popular choices for the unifying group are the special unitary group in five dimensions SU(5) and the special orthogonal group in ten

Ladder operator (4,501 words) [view diff] exact match in snippet view article find links to article

degeneracies of the 3D isotropic harmonic oscillator are related to the special unitary group SU(3) Many sources credit Paul Dirac with the invention of ladder

List of finite simple groups (1,789 words) [view diff] exact match in snippet view article find links to article

where q3 = pf Other names Twisted Chevalley group, projective special unitary group, PSUn+1(q), PSU(n + 1, q), Un+1(q), 2An(q), 2An(q, q2) 2Dn(q), O2n−(q)

Point groups in three dimensions (5,081 words) [view diff] exact match in snippet view article find links to article

Spin(3). (Note that Spin(3) has alternative descriptions as the special unitary group SU(2) and as the group of unit quaternions. Topologically, this

Möbius transformation (10,549 words) [view diff] exact match in snippet view article find links to article

{M}}\cong \operatorname {PSL} (2,\mathbb {C} )} to the projective special unitary group PSU(2, C) which is isomorphic to the special orthogonal group SO(3)