Simple Lie Group - Real Forms

Real Forms

The groups SO(p,q,R) and SO(p+q,R), for example, give rise to different real Lie algebras, but having the same Dynkin diagram. In general there may be different real forms of the same complex Lie algebra.

Read more about this topic:  Simple Lie Group

Famous quotes containing the words real and/or forms:

    It is this deep blankness is the real thing strange.
    The more things happen to you the more you can’t
    Tell or remember even what they were.
    William Empson (1906–1984)

    Anyone who seeks for the true causes of miracles, and strives to understand natural phenomena as an intelligent being, and not to gaze at them like a fool, is set down and denounced as an impious heretic by those, whom the masses adore as the interpreters of nature and the gods. Such persons know that, with the removal of ignorance, the wonder which forms their only available means for proving and preserving their authority would vanish also.
    Baruch (Benedict)