Timeline for What are "classical groups"?
Current License: CC BY-SA 2.5
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| Dec 30, 2010 at 13:42 | comment | added | David MJC | Correct: I was hoping someone would notice that :) I claim it is entirely appropriate to regard G_2 as a classical group for this reason, and it can be manipulated classically in its 7d fundamental representation. It just happens that Hermann Weyl did not consider it so. | |
| Dec 30, 2010 at 13:37 | comment | added | George McNinch | Well, $G_2$ is often said to be almost a classical group... ;^) | |
| Dec 30, 2010 at 2:01 | comment | added | moonface | I think this definition makes $G_2$ is a classical group: Look at $GL_7$ acting on the third exterior power of its standard representation; the connected component of a generic point stabilizer is $G_2$. | |
| Dec 30, 2010 at 0:02 | history | answered | David MJC | CC BY-SA 2.5 |