Talk:List of simple Lie groups
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Untitled
editI'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
editAre 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
editIs 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
editThis 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 [[1]] and [[2]] 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
editI 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)