Geodesics in nilpotent Lie groups
We study the geodesics problem in Heisenberg group H (case SR and riemannian). The sheaf of infinitesimal automorphisms of the (2n,2n+1) distribution D over H is an infinite, transitive Lie algebra sheaf.Comment: to appear in Proceeding of GAP 2007 ...
Abib, Odinette Renée
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Regular Lie groups and a theorem of Lie-Palais
In 1984 Milnor had shown how to deduce the Lie-Palais theorem on integration of infinitesimal actions of finite-dimensional Lie algebras on compact manifolds from general theory of regular Lie groups modelled on locally convex spaces. We show how, in the
Pestov, Vladimir G.
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Equivariant formality of isotropic torus actions
Considering the potential equivariant formality of the left action of a connected Lie group $K$ on the homogeneous space $G/K$, we arrive through a sequence of reductions at the case $G$ is compact and simply-connected and $K$ is a torus.
Carlson, Jeffrey D.
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Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation. [PDF]
Barbaresco F.
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M. Karoubi and C. Leruste, Algebraic topology via differential geometry (London Mathematical Society Lecture Note Series 99, Cambridge University Press1987) 363 pp. 0 521 31714 2, £15.(Originally published in French as Méthodes de géométrie différentielle en topologie algébrique, Paris 1982.) [PDF]
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K(pin)-Torsors and the Interpretation of "Triple" Cohomology. [PDF]
Duskin J.
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Imprimitivity for Representations of Locally Compact Groups I. [PDF]
Mackey GW.
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Zur dreidimensionalen Topologie
Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg, 1933exaly

