the intersection of all borel subalgebra for a complex semisimple Lie algebra - MathOverflow most recent 30 from http://mathoverflow.net2013-05-19T04:23:29Zhttp://mathoverflow.net/feeds/question/28908http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/28908/the-intersection-of-all-borel-subalgebra-for-a-complex-semisimple-lie-algebrathe intersection of all borel subalgebra for a complex semisimple Lie algebrachiong2010-06-21T03:29:17Z2010-06-21T03:29:17Z
<p>maybe my question is trivial ,but I can not find any reference or paper about the question.
my question is as follows,
Let $g$ be a finite dimensinal complex semisimple Lie algebra,what is the intersection of all borel subalgebra?or what is the intersection all cartan subalgebra?</p>
<p>in general,two general cartan subalgebras are conjugate. and my question is, what is the intersection of them?</p>