Talk:Cartan subgroup

Assessment comment

The comment(s) below were originally left at Talk:Cartan subgroup/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

At least as important as Cartan subalgebra. Need more on conjugacy classes and high-level explanations of the significance. Arcfrk 05:47, 24 May 2007 (UTC)[reply]

I think it can be generalized to non-semisimple case, as in Cartan subalgebra. Then it would become maximal *nilpotent* subgroup which is self-normalizing, i.e. a normal-subgroup of itself only. D.S 18 October 2007 —Preceding unsigned comment added by 79.181.114.115 (talk) 12:11, 18 October 2007 (UTC)[reply]

Last edited at 12:13, 18 October 2007 (UTC). Substituted at 01:51, 5 May 2016 (UTC)

Merge to Cartan subalgebra

The current article is mainly about a Cartan subgroup of a Lie group and so it makes sense to discuss in conjunction with Cartan subalgebra. We can still discuss the algebraic-case over there too. —- Taku (talk) 21:36, 13 January 2020 (UTC)[reply]

If I look at (B, N) pair I see it's about groups of Lie type which are finite groups not Lie groups. And they have need for a Cartan subgroup distinct from the Cartan algebra. On the other hand, this stub seems to be talking about Lie groups ... so perhaps maybe merge most of the content here, but leave a stub behind so that the finite-group people can do what they need with it? 67.198.37.16 (talk) 03:49, 1 November 2020 (UTC)[reply]

@TakuyaMurata: No objection from me if some of the subgroup material is moved; you might be in a better position what would be left behind. Klbrain (talk) 09:08, 2 January 2021 (UTC)[reply]

I have moved Cartan subgroups of a Lie group to the Cartan subalgebra article but have left the rest here. -- Taku (talk) 05:22, 3 January 2021 (UTC)[reply]