Timeline for Dimension of Lie group embedding
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 7, 2011 at 20:24 | comment | added | André Henriques | Once you have a faithful representation of the connected component of the identity, you can induce it up to a faithful representation of the whole group. | |
| Jun 7, 2011 at 17:40 | comment | added | Mariano Suárez-Álvarez | A simpler question is: is there a a function $f$ such that a compact Lie group of dimension n has a faithful representation of dimension bounded by $f(n)$? | |
| Jun 7, 2011 at 14:28 | comment | added | José Figueroa-O'Farrill | Don't know the general answer, but might one be able to do this on an almost case-by-case analysis? e.g., one gets at once that $O(n)$ can be embedded in $SO(n+1)$. | |
| Jun 7, 2011 at 13:41 | history | edited | Abel Stolz | CC BY-SA 3.0 |
deleted 6 characters in body
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| Jun 7, 2011 at 13:34 | history | asked | Abel Stolz | CC BY-SA 3.0 |