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  E-mail Message: I thought you might be interested in this item at http://www.worldcat.org/oclc/898339815 Title: Pavages de l'espace affine Author: Ilia Smilga; Yves Benoist; Frédéric Paulin; Thierry Barbot; Anna Katharina Wienhard; Elisha Falbel; Alessandra Iozzi, mathématicienne); Université Paris-Sud (1970-2019); Ecole doctorale Mathématiques de la région Paris-Sud (1992-2015 / Orsay); Laboratoire de mathématiques d'Orsay (1998-....) Publisher: 2014. OCLC:898339815

  
  

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Pavages de l'espace affine

Author:	Ilia Smilga; Yves Benoist; Frédéric Paulin; Thierry Barbot; Anna Katharina Wienhard; All authors
Publisher:	2014.
Dissertation:	Thèse de doctorat : Mathématiques : Paris 11 : 2014.
Edition/Format:	Computer file : Document : Thesis/dissertation : French
Summary:	Pour tout entier naturel impair d, on construit un domaine fondamental pour l'action sur l'espace affine de dimension 2d+1 de certains groupes de transformations affines libres non abéliens, discrets, agissant proprement et de partie linéaire Zariski-dense dans SO(d+1, d). Pour tout groupe de Lie semisimple réel non compact G, on construit ensuite un groupe de transformations affines de son algèbre de Lie g qui est libre non abélien, discret, agit proprement sur g et a sa partie linéaire Zariski-dense dans Ad G. Enfin, on donne quelques résultats sur le comportement local des fonctions harmoniques sur le triangle de Sierpinski, plus précisément de leur restriction à un bord du triangle. For every odd positive integer d, we construct a fundamental domain for the action on the 2d+1-dimensional space of certain groups of affine transformations which are free, nonabelian, act properly discontinuously and have linear part Zariski-dense in SO(d+1,d). Next for every semisimple noncompact real Lie group G, we construct a group of affine transformations of its Lie algebra g which is free, nonabelian, acts properly discontinuously and has linear part Zariski-dense in Ad G. Finally, we give some results about the local behavior of harmonic functions on the Sierpinski triangle restricted to a side of the triangle.  Read more...
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Subjects	Lie, Groupes de. Fractales. Groupes discrets. View all subjects
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