Talk:Casimir element

message: need to disambiguate rank.  there is currently no page for the rank of a Lie algebra/Lie group.  does this deserve its own page?  or is it better explained in the Lie algebra and Lie group articles?Lethe 02:04, 9 Mar 2004 (UTC)
thread_title: comments

message: Added the precise formulation for the case of semisimple Lie algebras, but unsure what modification is required in other possible cases  -  Most sources (Knapp, Helgason, & Jacobson) appear to only consider the semisimple case. Dmaher 01:09, 8 July 2006 (UTC)
thread_title:  Formulation 

message: If I multiply Lx2+Ly2+Lz2 I always get -2 times identity. Don't know if I do something wrong, just wanted to tell you. 88.66.141.244 (talk) 18:45, 15 August 2013 (UTC)
thread_title:  example: so(3) 

message: , a.k.a. latex to html, is a well-known person (see Special:WhatLinksHere/user talk:99.241.86.114), to whose main agenda ’m largely indifferent. But now  bring to evaluation one aspect of his/her activity yet unknown to me.
Good version                         	After 99.241.86.114
n-dimensional(WP:HYPHEN)	n−dimensionalthe minus sign
G-invariant(same as above)           	G–invariantthe en dash character
(2\ell+1)-dimensional   	(2ℓ + 1)–dimensional.en dash, unprotected spaces
There will be no trouble if someone will attempt to improve the typography, even using 99.241.86.114’s drafts, but nothing (but an edit war against me) will come from an attempt to reinstate his/her “contribution” without fixes. 
Regards, Incnis Mrsi (talk) 09:10, 22 January 2014 (UTC)
replies: text: Are you aware that most readers won't notice the difference between -, − and other horizontal dashes (and consequently don't care), but that inline Latex often (always in case you use PNG) looks like shit? YohanN7 (talk) 05:06, 23 January 2014 (UTC)
replies: text:   said: ’m indifferent to 99.241.86.114’s main agenda, but not to the collateral damage. If  will change English words from Latin script to Cyrillic, then you reverted me, right? Or may  change the spelling to my non-standard (but easily legible) variant? There is an expressed consensus about punctuation exactly as there is a consensus that English Wikipedia uses English, that it is written in Latin letters and with a standard orthography. The minus sign is at all a symbol, not a kind of other horizontal dash as you contemptuously said. A user who persistently edits against the consensus may end with his/her contribs ruined. Especially if such contribs consist mostly of various tweaks of doubtful value: there is no consensus about the math formatting. Incnis Mrsi (talk) 05:27, 23 January 2014 (UTC)
replies: text:  I'm just amazed that you want to go through all the trouble of reverting to a more-than-year-old version, reinstating several subsequent edits, instead of just replacing the eye-hurting horizontal dash with your favorite horizontal dash, and in the process make 99.241.86.114 look like a very suspect individual. YohanN7 (talk) 06:32, 23 January 2014 (UTC)

text: Is there any way to improve the way in-line Latex looks on my computer? What is PNG? The image file format?
178.38.88.134 (talk) 21:49, 27 February 2015 (UTC)
thread_title:  99.241.86.114 

message: (1) What is ? I don't know what it means to apply the representation to the dual vector . 
(2) What is the representation-theoretic meaning, or characterization, of \ell in the expression \ell(\ell+1)?
178.38.88.134 (talk) 21:49, 27 February 2015 (UTC)
replies: text: Only for (1). X^i is not a dual vector (linear functional) but just dual to X_i; i.e., B(X_i, X^j) = \delta_{ij}. -- Taku (talk) 22:57, 10 October 2015 (UTC)

text: \ell is spin (physical terminology), whereas 2\ell is the highest weight of the corresponding irreducible representation of \mathfrak{so}(3); of course, as the article mentions, 2\ell+1 is the dimension of this representation. Arcfrk (talk) 08:04, 13 October 2015 (UTC)
thread_title:  Please explain