Fundamental chamber of a root system
= Fundamental chamber of a root system
{wiki=Weyl_chamber}
The fundamental chamber is the connected component
$$
C=\{v:\langle v,\alpha\rangle>0\text{ for every }\alpha\in\Delta\}
$$
of the complement of the reflecting hyperplanes. The Weyl group acts freely and transitively on its chambers.
= Weyl chamber
{c}
{synonym}