From the perspective of Lie groups, " S " 3 can be identified with the special unitary group SU ( 2 ).
42.
A r has as its associated simply connected compact group the special unitary group, PU ( " r " + 1 ).
43.
The unitary group SU 3 ( 3 ) ( order 6048 ) possesses a graph of 36 vertices, in anticipation of the next subgroup.
44.
Here the field is the one of size 2 ^ n, the " reals " of the unitary group not the " complexes ".
45.
Does the circle group equal the special unitary group of one dimension ?-Craig Pemberton 08 : 44, 26 December 2009 ( UTC)
46.
In group theoretic language, the Pauli matrices are the generators of the special unitary group in two dimensions, denoted SU ( 2 ).
47.
This generalizes complex conjugation and the conjugation of degree 2 finite field extensions, and allows one to define Hermitian forms and unitary groups as above.
48.
For the homotopy theory the relevant information is carried by compact subgroups such as the orthogonal groups and unitary groups of " G ".
49.
In fact it is homotopy equivalent to its maximal compact subgroup, the unitary group " U " of " H ".
50.
The special unitary group is the symmetry group of quantum chromodynamics and the symplectic group finds application in hamiltonian mechanics and quantum mechanical versions of it.
