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Results tagged with root-systems
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user 97316
7
votes
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answers
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Fixed Points of the Weyl Group action on a Maximal Torus and the Center of a Reductive Group
Suppose $G$ is a connected reductive group over an algebraically closed field. Then given a maximal torus $T$, we can define a Weyl group $W$ and consider $T^W$, the Weyl-invariants of $T$. This clear …
- 953
2
votes
0
answers
177
views
Absolute and Relative Coroots
$G$ is a connected reductive group over a field $k$. $T$ is a maximal torus and $S \subset T$ is a maximal $k$-split torus. We have an embedding $X_*(S) \hookrightarrow X_*(T)$. Is it true that if $\ …
- 953