共查询到20条相似文献,搜索用时 15 毫秒
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(4):495-498
Using an approach based on linear conditional expectations, we define a class of weak ARMA-GARCH representations. The generality of the class is illustrated through a collection of examples. We propose a two-stage estimation procedure based on the minimization of sums of squared linear predictions errors. Strong consistency and asymptotic normality of the estimator are established under ergodic and mixing assumptions. 相似文献
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Let be a locally compact second countable group, F a local field of
characteristic zero and G an F-almost-simple F-algebraic group. In
this paper we study the space X(,G) of Zariski-dense representations
: G = G(F) using the natural morphism of cohomological
functors * : H*(G, ·) H*(, ·) (where H
denotes the continuous cohomology).First let F be a p-adic field. We completely describe the relations
between the geometry and the cohomology of G : using geometric
properties of the Bruhat-Tits building of G we construct natural cocycles
for any irreducible cohomological representation of G. We then
adapt these results to the case where the field F is archimedean.Using these cocycles we obtain a simple cohomological characterization
of representations with bounded image.Our main result is then the construction, using the previous cocycles
and dynamical properties at infinity of , of cohomological
invariants (called volumes) on the space X(,G). These volumes describe
how the image () goes to infinity in G. They have coefficients
in the natural universal infinite-dimensional representation
L(, )$\mathbb{C}$ of .In the case where is a cocompact lattice of SO(n, 1) or SU(n, 1),
we use these volumes to produce new non-trivial numerical invariants
on X(,G), which refine previously known invariants.
Volumes des représentations sur un corps local相似文献
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J. -P. Wintenberger 《Inventiones Mathematicae》1995,120(1):215-240
Résumé Soit
:G
E
H(Q
) un système de représentations galoisiennes -adiques associées à un motif sur un corps de nombresE et à valeurs dans un groupe algébriqueH. SoitHH une isogénie centrale telle que la structure de Hodge complexe se relève àH. Nous prouvons, au moins dans certains cas, que, après restriction à une extension finieE deE, le système de représentations galoisiennes se relève àH.
Oblatum 1-VIII-1993 @ 10-X-1994 相似文献
Let :G E H(Q ) be a system of -adic Galois representations associated to a motive over a number fieldE with values in the algebraic groupH. LetHH be a central isogeny such that the complex Hodge structure lifts toH. The main result is that, under some convenient hypothesis, and after restriction to a finite extension, the system of Galois representations lifts toH.
Oblatum 1-VIII-1993 @ 10-X-1994 相似文献
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Alberto Arabia 《Comptes Rendus Mathematique》2004,338(4):267-270
Recent works are devoted to the rational smoothness of varieties of representations for quivers, notably those of Robert Bédard, Ralf Schiffler and Philippe Caldéro. Their main result is the equivalence for a variety of representations of a quiver of Dynkin type, between This Note gives a different approach to the question and a strengthened version of Bédard–Schiffler–Caldéro's equivalences. To cite this article: A. Arabia, C. R. Acad. Sci. Paris, Ser. I 338 (2004). 相似文献
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W. J. Trjitzinsky 《Annali di Matematica Pura ed Applicata》1962,58(1):143-201
Résumé Dans le développements ci-après on considère les classes de fonctions f(z)∈[c], continues dans un domaine K (ouvert, borné,
connexe),
est la frontière de domaine R(
⊂K) d'une classe convenable Γ″ d'ensembles, R ètant intérieur à c], ϕ(z)=DF (dérivée convenable D) ∈ (δ); on suppose que F
est une totale indéfinie de ϕ, appropriée à la dérivation D. Le problème principal abordé est celui du calcul effectif de
f (de [c]) à partir de ϕ (de (δ)) correspondant.
à M. Enrico Bompiani pour son Jubilé scientifique. 相似文献
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Par Jean Leray 《Commentarii Mathematici Helvetici》1935,8(1):149-180
Sans résuméCe travail a été résumé en deux Notes parues aux Comptes rendus de l'Académie des Sciences le 3 décembre 1934 et le 12 juin 1935. (t. 199 et 200). 相似文献
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Marguerite-Marie Virotte-Ducharme 《Geometriae Dedicata》1992,41(3):275-335
This work gives a method for constructing presentation (X, ) for a group generated by a class of 3-transpositions (named here a Fischer class) in which {ie275-1}(G/Z(G)) is simple and non-abelian. The generating set X is contained in D; is the set of relations (xy)
m(x,y)=1, x and y in X, where m(x, y) is the order of the product xy in G, m(x, y) 3; is a set of relations between elements of X. The group G is constructed as a quotient of the Coxeter group (X, ).These results are applied to symplectic and orthogonal groups over {ie275-2}. Applications to other groups, in particular to the sporadic Fischer groups, will follow later. 相似文献
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Bruno Kahn 《代数通讯》2013,41(4):695-711
On définit des classes de Chern pour un fibré vectoriel “réel” au sens d'Atiyah [1], à valeurs dans la cohomologie équivariante paire de la base à coefficients entiers tordus. Dans le cas d'un fibré réel au sens usuel, ces classes redonnent les classes de Pontrjagin et les classes de Stiefel-Whitney. 相似文献
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Marguerite-Marie Virotte-Ducharme 《Geometriae Dedicata》1993,45(2):121-162
In this paper we give Coxeter presentation (X, ) for the three Fischer groupsG=Fi22, Fi23, Fi24; we apply methods exposed in the first part. Each of these groups is generated by a class of 3-transpositions (named here a Fischer class) in which elements ofX are chosen. A subset of is the set of all the relations (xy)
m(x,y)=1, wherex andy are inX and wherem(x,y) means the order ofxy inG. We obtainG as a specified quotient of the Coxeter group (X, ) with the appropriate diagram . 相似文献
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NATHALIE WACH 《Compositio Mathematica》1997,108(2):185-240