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Results tagged with weyl-group
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user 520511
The Weyl group of a root system is a subgroup generated by reflections through the hyperplanes orthogonal to the roots.
12
votes
3
answers
750
views
The orders of the exceptional Weyl groups
Who first calculated the orders of the Weyl groups $E_6$, $E_7$, $E_8$, $F_4$, and $G_2$? How were these orders calculated?
- 421
7
votes
1
answer
258
views
A name for the Weyl group of $\frak{so_{2n}}$
For the $A$-series the Weyl group is the symmetric group $S_n$. For the $B$ and $C$ series the Weyl group is the hyperoctahedral group $\mathbb Z_2 \wr S_n$.
A) Does the $D$-series Weyl group $S_n \ma …
- 421