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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.

Une généralisation du théorème de Myers-Steenrod aux pseudogroupes d'isométries

Éliane Salem (1988)

Annales de l'institut Fourier

On montre que tout pseudogroupe d’isométries locales d’une variété riemannienne, qui est complet et fermé pour la topologie C 1 est un pseudogroupe de Lie. Ce résultat généralise au cas des pseudogroupes le théorème de S. Myers et N. Steenrod selon lequel le groupe des isométries d’une variété riemannienne est un groupe de Lie.

Weyl quantization for the semidirect product of a compact Lie group and a vector space

Benjamin Cahen (2009)

Commentationes Mathematicae Universitatis Carolinae

Let G be the semidirect product V K where K is a semisimple compact connected Lie group acting linearly on a finite-dimensional real vector space V . Let 𝒪 be a coadjoint orbit of G associated by the Kirillov-Kostant method of orbits with a unitary irreducible representation π of G . We consider the case when the corresponding little group H is the centralizer of a torus of K . By dequantizing a suitable realization of π on a Hilbert space of functions on n where n = dim ( K / H ) , we construct a symplectomorphism between...

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