Sentence examples for 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.

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

We will encounter this situation when s is the Lie algebra of a torus S inside a reductive group scheme G.

Let (mathbf{G}) be a split reductive group over a field (mathbb {K}) of characteristic 0. Assume that the Lie algebra ({mathfrak g}) of the adjoint group of (mathbf{G}) is simple.

There exists a unique H ( R n ) –conjugacy class of (a) Couples ( L, P ) where P is a minimal parabolic R n –subgroup scheme of H and L is a Levi subgroup of P such that L is a loop reductive group scheme.

Let H be a loop reductive group scheme.

Z G ( T d ) is a loop reductive group.

Let H be a loop reductive group scheme over R n.