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Results tagged with weyl-group
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user 4149
The Weyl group of a root system is a subgroup generated by reflections through the hyperplanes orthogonal to the roots.
0
votes
Describing characters of a reductive group in terms of characters of a maximal torus
Let $G$ be a connected reductive group over an algebraically closed field $k$.
Write $G^{\rm ss}=[G,G]$ (which is semisimple)
and let $G^{\rm sc}$ denote the universal cover of the semisimple group $ …
- 14.2k
9
votes
Accepted
$N_{G}(E)/C_{G}(E)$ is the Weyl group of $G$?
$\newcommand{\ZZ}{{\mathcal Z}_G}
\newcommand{\NN}{{\mathcal N}_G}
\newcommand{\zz}{{\mathfrak z}_G}
\newcommand{\Lie}{{\rm Lie\,}}
\renewcommand{\tt}{{\mathfrak t}}
\renewcommand{\gg}{{\mathfrak g}}
…
- 14.2k