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1,107
ON DISCRETE SUBGROUPS OF AUTOMORPHISM OF P² C
, 2008
"... In this work we study discrete subgroups Γ of PSL3(C) and some of their basic properties. We show that if there is a region of “discontinuity” of the action of Γ on P2 C which contains Γcocompact components, then the group is either elementary, affine or fuchsian. Moreover, there is a largest open ..."
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In this work we study discrete subgroups Γ of PSL3(C) and some of their basic properties. We show that if there is a region of “discontinuity” of the action of Γ on P2 C which contains Γcocompact components, then the group is either elementary, affine or fuchsian. Moreover, there is a largest open
DISCRETE SUBGROUPS OF LOCALLY DEFINABLE GROUPS
"... Abstract. We work in the category of locally definable groups in an ominimal expansion of a field. Eleftheriou and Peterzil conjectured that every definably generated abelian connected group G in this category, is a cover of a definable group. We prove that this is the case under a natural convexit ..."
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convexity assumption inspired by the same authors, which in fact gives a necessary and sufficient condition. The proof is based on the study of the zerodimensional compatible subgroups of G. We prove that the rank of such groups is bounded by the dimension of G. We also obtain the finiteness of the n
Operators Commuting with a Discrete Subgroup of Translations
"... ABSTRACT. We study the structure of operators from the Schwartz space S(Rn) into the tempered distributions S ′ (R) n that commute with a discrete subgroup of translations. The formalism leads to simple derivations of recent results about the frame operator of shiftinvariant systems, Gabor, and wav ..."
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Cited by 1 (0 self)
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ABSTRACT. We study the structure of operators from the Schwartz space S(Rn) into the tempered distributions S ′ (R) n that commute with a discrete subgroup of translations. The formalism leads to simple derivations of recent results about the frame operator of shiftinvariant systems, Gabor
1 Asymptotically free theories based on discrete subgroups
, 2000
"... We study the critical behavior of discrete spin models related to the 2d O(3) nonlinear sigma model. Precise numerical results suggest that models with sufficiently large discrete subgroups are in the same universality class as the original sigma model. We observe that at least up to correlation le ..."
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We study the critical behavior of discrete spin models related to the 2d O(3) nonlinear sigma model. Precise numerical results suggest that models with sufficiently large discrete subgroups are in the same universality class as the original sigma model. We observe that at least up to correlation
On the equicontinuity region of discrete subgroups of PU(1
 n), J. Geom. Anal
"... Abstract. Let G be a discrete subgroup of PU(1, n). Then G acts on P n C preserving the unit ball H n C, where it acts by isometries with respect to the Bergman metric. In this work we determine the equicontinuty region Eq(G) of G in P n C: It is the complement of the union of all complex projective ..."
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Cited by 7 (5 self)
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Abstract. Let G be a discrete subgroup of PU(1, n). Then G acts on P n C preserving the unit ball H n C, where it acts by isometries with respect to the Bergman metric. In this work we determine the equicontinuty region Eq(G) of G in P n C: It is the complement of the union of all complex
Tribimaximal neutrino mixing from discrete subgroups
, 2005
"... It has recently been shown how tribimaximal neutrino mixing can be achieved, using the seesaw mechanism with constrained sequential dominance, through the vacuum alignment of a broken nonAbelian gauged family symmetry such as SO(3) or SU(3). Generalising the approach of Altarelli and Feruglio dev ..."
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developed for an A4 model we show how the reduction of the underlying symmetry to a discrete subgroup of SO(3) or SU(3) renders this alignment a generic property of such models. This means near tribimaximal mixing can be quite naturally accommodated in a complete unified theory of quark and lepton masses
Deformations of representations of discrete subgroups of SO(3, 1)
, 1994
"... Let M be a closed hyperbolic 3dimensional orbifold (see IT, Sc] for definitions), P o:n 1 (M) ~ Isom (IH 3) be its holonomy representation. Denote the conjugacy class of P o by [po]. In this paper we discuss whether for n = 4 the point [ Po] is isolated in the space ..."
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Cited by 15 (2 self)
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Let M be a closed hyperbolic 3dimensional orbifold (see IT, Sc] for definitions), P o:n 1 (M) ~ Isom (IH 3) be its holonomy representation. Denote the conjugacy class of P o by [po]. In this paper we discuss whether for n = 4 the point [ Po] is isolated in the space
Characteristic classes and representations of discrete subgroups of Lie groups
 Bull. Amer. Math. Soc. (N.S
"... A volume invariant is used to characterize those representations of a countable group into a connected semisimple Lie group G which are injective and whose image is a discrete cocompact subgroup of G. Let IT be a discrete cocompact subgroup of G and consider the analytic variety Hom(7r, G) consisti ..."
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Cited by 11 (2 self)
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A volume invariant is used to characterize those representations of a countable group into a connected semisimple Lie group G which are injective and whose image is a discrete cocompact subgroup of G. Let IT be a discrete cocompact subgroup of G and consider the analytic variety Hom(7r, G
A Monograph on the Classification of the Discrete Subgroups of SU(4)
, 2000
"... Preprint typeset in JHEP style. HYPER VERSION ..."
Results 1  10
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1,107