Symmetry

[dr. undefined]

Are special unitary groups as SU(5) symmetrical? Orthogonal groups are symmetrical but are unitary groups too?

[uncool]

  On 7/24/2012 at 1:46 AM, dr. undefined said:

Are special unitary groups as SU(5) symmetrical? Orthogonal groups are symmetrical but are unitary groups too?

Symmetrical how? Do you mean that transposing takes the group to itself?

=Uncool-

[Severian]

Do you mean, are the generators of the group represented by symmetric matrices? If so, then no. The generators obey $T_a^\dagger=T_a$ so you need to transpose and take the complex conjugate. Orthogonal group generators are symmetric because the relation is $T_a^T=T_a$.

[uncool]

  On 7/24/2012 at 8:28 AM, Severian said:

Do you mean, are the generators of the group represented by symmetric matrices? If so, then no. The generators obey $T_a^\dagger=T_a$ so you need to transpose and take the complex conjugate. Orthogonal group generators are symmetric because the relation is $T_a^T=T_a$.

Uh. Orthogonal group generators are antisymmetric.

=Uncool-