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Transitive riemannian isometry groups with nilpotent radicals

C. Gordon (1981)

Annales de l'institut Fourier

Given that a connected Lie group G with nilpotent radical acts transitively by isometries on a connected Riemannian manifold M , the structure of the full connected isometry group A of M and the imbedding of G in A are described. In particular, if G equals its derived subgroup and its Levi factors are of noncompact type, then G is normal in A . In the special case of a simply transitive action of G on M , a transitive normal subgroup G ' of A is constructed with dim G ' = dim G and a sufficient condition is given...

Triangular stochastic matrices generated by infinitesimal elements

Inheung Chon, Hyesung Min (1999)

Czechoslovak Mathematical Journal

We show that each element in the semigroup S n of all n × n non-singular upper (or lower) triangular stochastic matrices is generated by the infinitesimal elements of S n , which form a cone consisting of all n × n upper (or lower) triangular intensity matrices.

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