共查询到20条相似文献,搜索用时 0 毫秒
1.
Paulo Tirao 《Proceedings of the American Mathematical Society》2000,128(10):2875-2878
It is known that the total (co)-homoloy of a 2-step nilpotent Lie algebra is at least , where is the center of . We improve this result by showing that a better lower bound is , where and is a complement of in . Furthermore, we provide evidence that this is the best possible bound of the form .
2.
A. I. Dolgarev 《Russian Mathematics (Iz VUZ)》2008,52(12):13-22
We describe the mentioned groups, assigning values to centralizers of the generating elements and defining a group operation on corteges of elements of the Galois field with a prime odd characteristic. On the indicated groups we define odules over the Galois field and describe these odules. We prove that the considered groups are those with unique extraction of root. 相似文献
3.
T.S. Gadjiev N.R. SadigovaR.A. Rasulov 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(16):5566-5571
The removability of singularities of solutions for the Dirichlet problem for degenerate nonlinear elliptic equations on the boundary of a domain is studied. A method based on a priori energetic estimates of solutions to elliptic boundary value problems is used. The growth in the vicinity of a boundary point (finite or at infinity) for generalized solutions is studied. 相似文献
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In this note, we study the fluctuations in the number of points on smooth projective plane curves over a finite field Fq as q is fixed and the genus varies. More precisely, we show that these fluctuations are predicted by a natural probabilistic model, in which the points of the projective plane impose independent conditions on the curve. The main tool we use is a geometric sieving process introduced by Poonen (2004) [8]. 相似文献
6.
The aim of this paper is to study the local and asymptotic behavior of Brownian motion on simply connected nilpotent Lie groups. We carry over a qualitative version of the Erdös-Rényi law of large numbers for Brownian motion to simply connected step 2-nilpotent Lie groups. The method applied gives rise to a proof for qualitative results concerning the modulus of continuity of Brownian motion on simply connected step 3-resp. step 2-nilpotent Lie groups without using the Ventsel-Freidlin theory as in Baldi. 相似文献
7.
V. V. Dotsenko 《Functional Analysis and Its Applications》2006,40(2):91-96
We compute the homology of the Lie algebra W 1 of (polynomial) vector fields on the line with coefficients in symmetric powers of its adjoint representation. We also list the results obtained so far for the homology with coefficients in tensor powers and, in turn, use them for partially computing the homology of the Lie algebra of W 1-valued currents on the line. 相似文献
8.
John Talboom 《代数通讯》2013,41(4):1795-1808
This article investigates the irreducibility of certain representations for the Lie algebra of divergence zero vector fields on a torus. In [2] Rao constructs modules for the Lie algebra of polynomial vector fields on an N-dimensional torus, and determines the conditions for irreducibility. The current article considers the restriction of these modules to the subalgebra of divergence zero vector fields. It is shown here that Rao's results transfer to similar irreducibility conditions for the Lie algebra of divergence zero vector fields. 相似文献
9.
The existence of solutions y to a linear differential or difference system whose components $y_{i_1 } ,...,y_{i_m } $ belong to a given class of functions and the problem of constructing such components are considered. 相似文献
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We prove results on the distribution of points in an orbit of PGL(2,q) acting on an element of GF(qn). These results support a conjecture of Klapper. More precisely, we show that the points in an orbit are uniformly distributed if n is small with respect to q. 相似文献
13.
Stanislav Kraj
i 《Mathematical Logic Quarterly》1999,45(3):415-420
We prove that all algebras P(w)/IR, where the IR-'s are ideals generated by partitions of W into finite and arbitrary large elements, are isomorphic and homogeneous. Moreover, we show that the smallest size of a tower of such partitions with respect to the eventually-refining preordering is equal to the smallest size of a tower on ω. 相似文献
14.
HUANG Xiaojun Department of Mathematics Rutgers University New Brunswick NJ USA 《中国科学A辑(英文版)》2006,(11)
In this paper, we discuss some recent studies on the complex structure of an isolated normal singularity by using the information from its link. We also give some open problems to be further pursued. 相似文献
15.
Michael Braun 《组合设计杂志》2019,27(11):682-687
An ‐arc in is a set of points such that each line contains at most of the selected points. It is well known that ‐arcs in correspond to projective linear codes. Let denote the maximal number of points for which an ‐arc in exists. In this paper we obtain improved lower bounds on by explicitly constructing ‐arcs. Some of the constructed ‐arcs correspond to linear codes meeting the Griesmer bound. All results are obtained by integer linear programming. 相似文献
16.
By deeply refining previous results of Dineen [8], Barton and Timoney [2] proved that the bidual of any ‐triple J becomes a ‐triple under a triple product which extends that of J and is separately ‐continuous. In this note we give a simpler new proof of the above theorem. 相似文献
17.
Jiazhong Yang 《Proceedings of the American Mathematical Society》2003,131(9):2715-2720
We prove that on , except for those germs of vector fields whose linear parts are conjugated to , any two Poincaré type vector fields are at least conjugated to each other provided their linear approximations have the same eigenvalues and the nonlinear parts are generic.
18.
A. S. Tikhomirov 《Acta Appl Math》2003,75(1-3):271-279
We study the moduli scheme M(2;0,n) of rank-2 stable vector bundles with Chern classes c
1=0, c
2=n, on the Fano threefold X – the double space P
3 of index two. New component of this scheme is produced via the Serre construction using certain families of curves on X. In particular, we show that the Abel–Jacobi map :HJ(X) of any irreducible component H of the Hilbert scheme of X containing smooth elliptic quintics on X into the intermediate Jacobian J(X) of X factors by Stein through the quasi-finite (probably birational) map g:M of (an open part of) a component M of the scheme M(2;0,3) to a translate of the theta-divisor of J(X). 相似文献
19.
A classification of locally homogeneous connections on 2-dimensional manifolds via group-theoretical approach 总被引:1,自引:0,他引:1
Oldřich Kowalski Barbara Opozda Zdeněk Vlášek 《Central European Journal of Mathematics》2004,2(1):87-102
The aim of this paper is to classify (lócally) all torsion-less locally homogeneous affine connections on two-dimensional
manifolds from a group-theoretical point of view. For this purpose, we are using the classification of all non-equivalent
transitive Lie algebras of vector fields in ℝ2 according to P.J. Olver [7]. 相似文献
20.
The Swedish mathematician Torsten Brodén (1857–1931) wrote two articles on the foundations of Euclidean geometry. The first was published in 1890, almost a decade before Hilbert's first attempt, and the second was published in 1912. Brodén's philosophical view of the nature of geometry is discussed and his thoughts on axiomatic systems are described. His axiomatic system for Euclidean geometry from 1890 is considered in detail and compared with his later work on the foundations of geometry. The two continuity axioms given are compared to and proved to imply Hilbert's two continuity axioms of 1903. 相似文献