Formula omitted]-root systems of exceptional flag manifolds

Abstract

T-roots of a flag manifold M=G/H of a compact semisimple Lie group G are the characters of the torus Z(H) corresponding to the one-dimensional Z(H)-invariant subspaces of C⊗(g/h).We classify the systems of T-roots of the flag manifolds M of the exceptional compact simple Lie groups with the second Betti number b2(M)⩾2.