Re: Lie theory question
From: José Carlos Santos (jcsantos_at_fc.up.pt)
Date: 01/28/05
- Next message: William Elliot: "locally connected, locally homogeneous"
- Previous message: Christophe Jermann: "Postdoctoral position in Nantes, France"
- In reply to: Chen Wei: "Lie theory question"
- Messages sorted by: [ date ] [ thread ]
Date: Fri, 28 Jan 2005 14:00:06 +0000 (UTC)
On 26-01-2005 6:04, Chen Wei wrote:
> Let $G$ be a complex simple Lie group, $G=KP$ a Cartan decomposition,
> $A\subset P$ maximal abelian, $a\in A$, $p\in P$ such that $pap\in A$.
> Prove that $p\in A$.
> (And there I do mean $pap$, not $pap^{-1}$.) Many thanks in advance.
I am a bit confused here. What's a "Cartan decomposition" in the context
of *complex* Lie groups? I know the concept for semisimple real Lie
groups and I don't see how to adapt it to complex simple Lie groups.
Best regards,
Jose Carlos Santos
- Next message: William Elliot: "locally connected, locally homogeneous"
- Previous message: Christophe Jermann: "Postdoctoral position in Nantes, France"
- In reply to: Chen Wei: "Lie theory question"
- Messages sorted by: [ date ] [ thread ]
Relevant Pages
|
