Timeline for Good and/or standard notation for the abelianization of a Lie algebra
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 22, 2013 at 16:05 | comment | added | Dietrich Burde | I have seen $G/G'$ for groups, and $g/g'$ for Lie algebras. The notation $G'$ corresponds to the name "derived group". Concerning the derived series of Lie algebras , the quotients are often also denoted by $g/g^{(1)}$, $g^{(1)}/g^{(2)}$ etc. | |
| Nov 5, 2010 at 18:06 | comment | added | Jim Humphreys | Concerning use of fonts in math symbols, a good rule of thumb is to use \text{xyz} or the like in math mode when the expression 'xyz' abbreviates an actual word like 'abelian' (especially if more than one letter occurs). Similarly, LaTeX allows you to define your own math operators like \Hom or \Ext, to make these look better in math mode. (Anyway, the original question is of marginal interest for MO.) | |
| Nov 3, 2010 at 15:36 | comment | added | Jim Conant | Yeah, maybe changing the font is the simplest answer. | |
| Nov 3, 2010 at 15:18 | comment | added | BCnrd | Maximal semisimple quotient is $\mathfrak{g}^{\rm{ss}}$, so for maximal abelian quotient why not $\mathfrak{g}^{\rm{ab}}$? (Note: Roman font for superscript, not italics.) | |
| Nov 3, 2010 at 14:08 | comment | added | Ben Webster♦ | \mathfrak h, perhaps? | |
| Nov 3, 2010 at 14:07 | comment | added | Jim Conant | Possibly the mismatch of the font. | |
| Nov 3, 2010 at 13:42 | comment | added | Martin Brandenburg | I write $G^{ab}$ in the case of groups; what is so ugly about it? | |
| Nov 3, 2010 at 13:22 | history | asked | Jim Conant | CC BY-SA 2.5 |