Talk:List of simple Lie groups
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Untitled
[edit]I've changed such expressions as a+b to a + b, with spaces on both sides of the "+", and similarly changed such things as p≤q to p ≤ q, for the sake of legibility and conformance to conventions. E.g.:
- Cn II (n > 2, n = p + q, 1 ≤ p ≤ q)
In subsection headings, I've changed capital initial "c" in "compact" and "complex" to lower-case "c"; see Wikipedia:Manual of Style concerning capitalization of initials in section headings. (I hope that split is not, unbeknownst to me, someone's name.)
In such things as Cn in a number of cases I've italicized the subscript n; generally on Wikipedia one should italicize variables in non-TeX mathematical notation, but one should not italicize digits or punctuation -- all this matches TeX style. Michael Hardy 02:12, 11 September 2005 (UTC)
Center of a simple Lie group
[edit]Are we defining a simple Lie group to be a Lie group which is a simple group, or as a Lie group with a simple Lie algebra. In the latter case (which I think is more typical, despite our article on simple Lie groups) a simple Lie group can have a discrete center and the sentence
"Any simple Lie group has a universal cover, whose center is the fundamental group of the simple Lie group."
is not true. -- Fropuff 05:00, 2 October 2005 (UTC)
Beginning a list of simple lie groups with a lie group that is not simple is not a good idea.
Rank of Bn
[edit]Is it really zero? (i was looking for the rank of SO(7) —Preceding unsigned comment added by 208.57.212.56 (talk) 00:33, 4 October 2009 (UTC)
Real and complex & Uniqueness
[edit]- Should this section not rather be named as "List of real simple groups", and should not a similar section "List of complex Lie groups" be before, where the cases ABCDEFG would be listed?
- If I am not wrong, the list is complete only "up to covering" or something like that -- should this not be written more precise?
Thanks for a comment, Franp9am (talk) 07:52, 18 August 2011 (UTC)
- Or does any covering has a nontrivial center (and here, only groups with triv. center are lister)? Franp9am (talk) 20:56, 28 August 2011 (UTC)
Ordering
[edit]This page used to be ordered by type (A,B,etc.), and is now divided into category (real, split, etc.) Personally, I find the old ordering much more useful, as I often (used to) use this page to determine all of the real forms of a particular type. Please rethink this decision. (The change appears to have taken place between the [] and [] versions, oldids 540495424 and 540515391, both dated 26Feb13, at 04:36 and 06:00, respectively.) — Preceding unsigned comment added by 24.21.106.209 (talk) 03:19, 20 August 2013 (UTC)
Merger with simple Lie group
[edit]I don't understand why we need this list needs to exist separate from simple Lie groups (surely readers interested in simple Lie groups want to see the list). Also, there are a lot of overlaps between the two articles. I have therefore proposed a merger. -- Taku (talk) 10:01, 16 December 2019 (UTC)