Sentence examples for be a reductive group from inspiring English sources

Let H be a reductive group scheme over X.

Let H be a reductive group scheme over X. Assume X is connected.

Let G be a reductive group and θ an involution on G, both defined over a p-adic field.

Let G be a reductive group over a non-archimedean local field and let S G) be its Schwartz algebra.

Let G be a reductive group scheme over a connected base scheme X, S a split subtorus of G, and let g and s denote their respective Lie algebras.

Let G be a reductive group over a normal ring6 R. If G contains a proper parabolic subgroup P then it contains a split non-central subtorus G m, R. We may assume that G is semisimple.

end{aligned}(2) By Schur's lemma ({mathcal {C}}(G) = Pi _{rho in Irr (G)} GL (n(rho ), {mathbb {C}})) is a reductive group.

Indeed, in that paper we showed that if n = 1 and G is a reductive group over an arbitrary field k of good characteristic then H e ´ t 1 ( R 1, G ) → H 1 ( F 1, G ) is bijective and that every G -torsor is toral.

The main result of [160] consists of two parts, the first one being the following: (Eyssidieux Katzarkov Pantev Ramachandran) Let X be a smooth projective variety, and let G be a reductive algebraic group defined over ({mathbb {Q}}).

Let H be a reductive X -group.

Let G be a reductive X -group.