- #1

Rasalhague

- 1,387

- 2

_{n}case in detail. But what are the simply-connected, complex, simple Lie groups associated with B

_{n}and D

_{n}? SO(n,C) is not simply connected. Spin(n) and PSL(n,C) are compact and, says Baez, "a complex simple Lie group is never compact."

Is there a good source online which lists all the simply-connected, complex, simple Lie groups and their maximal compact subgroups as Baez does for A

_{n}?

I believe C

_{n}is Sp(2n,C) with maximal compact subgroup USp(2n,C), the latter commonly written Sp(n).