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1.
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
2.
A typical result of the paper states that if X is a Banach space with a basis and for some 1pq, the spaces p and q are finitely block representable in every block subspace of X, then every block subspace of X admits a block quotient Z such that for every r[p,q], the space r is finitely block representable in Z. Results of a similar nature are also established for N
p-block-sequences and asymptotic spaces. 相似文献
3.
C. S. Withers 《Probability Theory and Related Fields》1981,57(4):509-534
Summary This paper gives a flexible approach to proving the Central Limit Theorem (C.L.T.) for triangular arrays of dependent random variables (r.v.s) which satisfy a weak mixing condition called -mixing. Roughly speaking, an array of real r.v.s is said to be -mixing if linear combinations of its past and future are asymptotically independent. All the usual mixing conditions (such as strong mixing, absolute regularity, uniform mixing, -mixing and -mixing) are special cases of -mixing. Linear processes are shown to be -mixing under weak conditions. The main result makes no assumption of stationarity. A secondary result generalises a C.L.T. that Rosenblatt gave for strong mixing samples which are nearly second order stationary. 相似文献
4.
Anthony W. Hager Chawne M. Kimber Warren W. McGovern 《Czechoslovak Mathematical Journal》2005,55(2):409-421
Usually, an abelian -group, even an archimedean -group, has a relatively large infinity of distinct a-closures. Here, we find a reasonably large class with unique and perfectly describable a-closure, the class of archimedean -groups with weak unit which are -convex. ( is the group of rationals.) Any C(X, ) is -convex and its unique a-closure is the Alexandroff algebra of functions on X defined from the clopen sets; this is sometimes C(X). 相似文献
5.
D. -R. Ton 《Algebra Universalis》1996,36(2):190-201
Aradical class of lattice-ordered groups (-groups) is a class closed under taking convex-subgroups, joins of convex-subgroups, and-isomorphic images. Imposing various other closure conditions leads to many specific types of radical classes (e.g., torsion classes). For several of these types, the complete latticeT of radical classes of that type has been studied, and such latticesT are our object of study here. We give the characteristic properties of closed-kernel radical mappings and polar kernel radical mappings. We prove in many instances thatT isrelatively polarized, that is, for any
], T with
] there exists a unique largest T such that =
], and often we are able to explicitly identify. By using these properties we characterize meet irreducibility in the latticeT of polar kernel radical classes.Presented by M. Henriksen. 相似文献
6.
Let M be a two-dimensional motive which is pure of weight w over a number field K and let (: GK Aut(H(M) )) be the system of the -adic realizations. Choose GK-invariant -lattices T of H(M) and let (:GK GL (T))be the corresponding system of integral representations. Then either for almost all primes (GK) consist of all the elements of GL(T) with determinant in ( *)–w or the system () is associated to algebraic Hecke characters. We also can prove an adelic version of our results.Mathematics Subject Classification (2000): 11F80 相似文献
7.
We express the real connective K-theory groups
o4k–1(B
Q
) ofthe quaternion group Q
of order = 2
j
8 in terms of therepresentation theory of Q
by showing
o4k–1(B
Q
) =
Sp(S
4k+3/Q
)where is any fixed point free representation of Q
in U(2k + 2). 相似文献
8.
We use the eta invariant to study the connective K-theory groups ko
m
(B
) of the classifying space for the cyclic group where - 2 2. 相似文献
9.
We introduce two new local 1-indices of the same type as the Bourgain 1-index; the +1-index and the +1-weakly null index. We show that the +1-weakly null index of a Banach space X is the same as the Szlenk index of X, provided X does not contain 1. The +1-weakly null index has the same form as the Bourgain 1-index: if it is countable it must take values for some <1. The different 1-indices are closely related and so knowing the Szlenk index of a Banach space helps us calculate its 1-index, via the +1-weakly null index. We show that I(C())=^1++1. 相似文献
10.
Bernard Badzioch 《K-Theory》1999,16(1):29-34
We prove that for an arbitrary endomorphism of a ring R the group K1(R[t]) splits into the direct sum of K1(R) and Ñil (r;). Moreover, for any such R and Ñil (R; ) is isomorphic to Ñil (R ; ) for some ring R with : R R – an isomorphism. 相似文献
11.
For primes we obtain a simple formula for p(N) (mod ) as a weighted sum over -square affine partitions of N. When {3,5,7,11}, the weights are explicit divisor functions. The Ramanujan congruences modulo 5, 7, 11, 25, 49, and 121 follow immediately from these formulae. 相似文献
12.
A. V. Tolstikov 《Journal of Mathematical Sciences》1981,16(1):897-912
The question of the nonsolvability of the equation in rational integersx
0,x
1,...,x
t,z satisfying certain additional conditions is investigated. Two cases are considered: 1) is a regular prime number and 0 < t < – 1; 2) is an irregular prime number, =fe+1 (f is prime), > c0 (f, t) and does not divide the Bernoulli numbers
.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 67, pp. 201–222, 1977. 相似文献
13.
Mark Skandera 《Journal of Algebraic Combinatorics》2004,20(2):195-211
Let
I,I be the minor of a matrix which corresponds to row set I and column set I. We give a characterization of the inequalities of the form
I,I
K,K
J,J
L,L
which hold for all totally nonnegative matrices. This generalizes a recent result of Fallat, Gekhtman, and Johnson. 相似文献
14.
Wolfgang Arendt 《manuscripta mathematica》1982,40(2-3):277-298
Let A be the generator of a C0-semigroup {T(t); t0} defined on a Banach lattice E. It is shown that T(t) is a lattice homomorphism for all t>0 if and only if A satisfies <¦x¦, Ax>= (xD(A), x D(A)) (where q: EE is the evaluation mapping). This equality is used to obtain a spectral decomposition for generators of positive groups. 相似文献
15.
Let m be an integer with m3. Let K and K be perfect fields of characteristic p and p such that (p,m)=1 and (p,m)=1, respectively. Moreover let A and A be algebraic function fields over K and K defined by xm+ym=a(0, ak) and xm+ym=a(a0 ak), respectively. Put g=(m–1)(m–2)/2. Denote by M(K,p,a) and M(K,p,a) the Hasse-Witt matrices of A and A with respect to the canonical bases of holomorphic differentials. Then we show that if p+p0(mod.m) then rank M(K,p,a)+rank M(K,p,a)=g and if pp1 (mod.m) then rank M(K,p,a)=rank M(K,p,a). 相似文献
16.
In this article, it will be shown that every -subgroup of a Specker -group has singular elements and that the class of -groups that are -subgroups of Specker -group form a torsion class. Methods of adjoining units and bases to Specker -groups are then studied with respect to the generalized Boolean algebra of singular elements, as is the strongly projectable hull of a Specker -group. 相似文献
17.
It is well known that every finite subgroup of GL
d
(Q
) is conjugate to a subgroup of GL
d
(Z
). However, this does not remain true if we replace general linear groups by symplectic groups. We say that G is a group of inertia type of G is a finite group which has a normal Sylow-p-subgroup with cyclic quotient. We show that if >d+1, and G is a subgroup of Sp
2d
(Q
) of inertia type, then G is conjugate in GL
2d
(Q
) to a subgroup of Sp
2d
(Z
). We give examples which show that the bound is sharp. We apply these results to construct, for every odd prime , isogeny classes of Abelian varieties all of whose polarizations have degree divisible by 2. We prove similar results for Euler characteristic of invertible sheaves on Abelian varieties over fields of positive characteristic. 相似文献
18.
The generators of the algebra s(2), which result from the nonstandard (Jordanian) deformation of the algebra s(2), are realized in the form of finite-difference operators acting in a function space. This allows realizing arbitrary-dimensional representations of s(2) in the polynomial space that are in one-to-one correspondence with usual matrices of an appropriate dimension. We discuss using the suggested realization to construct and investigate the universal R-matrix invariant with respect to the action of the algebra s(2). 相似文献
19.
Alexander Kreuzer 《Geometriae Dedicata》1996,61(3):279-283
Let (P,
) and (P,
) be linear spaces satisfying the exchange axiom with dim P=dim P . Then a bijection :PP which maps collinear points onto collinear points is an isomorphism. Also a surjection :PP which maps any three non-collinear points to non-collinear points is an isomorphism. This assertion is not true if dim P is not finite. 相似文献
20.
V. I. Masol 《Ukrainian Mathematical Journal》1991,43(9):1110-1116
There are investigated the joint distribution of random variables kn(1),..., kn(s), and distributions of some functionals of kn(), for n. Here kn(), 1ln–1 is the number of -steps in a binary sequence (b.s.), selected randomly and equiprobably from the totality of all n-dimensional b.s. that have a prescribed number of ones and k 1-steps. By an -step of a b.s. we understand a configuration of the form 1...0, where the ellipsis stands for an ( –1)-dimensional b.s.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 9, pp. 1186–1193, September, 1991. 相似文献