共查询到20条相似文献,搜索用时 15 毫秒
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We determine the image of the braid groups inside the Temperley–Lieb algebras, defined over finite field, in the semisimple case, and for suitably large (but controlable) order of the defining (quantum) parameter. We also prove that, under natural conditions on this parameter, the representations of the Hecke algebras over a finite field are unitary for the action of the braid groups. 相似文献
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Jean-Baptiste Gramain 《Journal of Algebraic Combinatorics》2011,34(3):401-426
In this paper, we prove that a refinement of the Alperin–McKay Conjecture for p-blocks of finite groups, formulated by I.M. Isaacs and G. Navarro in 2002, holds for all covering groups of the symmetric and alternating groups, whenever p is an odd prime. 相似文献
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In this paper, we generalize the concept of codismantlable graphs to hypergraphs and show that some special vertex decomposable hypergraphs are codismantlable. Then we generalize the concept of bouquet in graphs to hypergraphs to extend some combinatorial invariants of graphs about disjointness of a set of bouquets. We use these invariants to characterize the projective dimension of Stanley–Reisner ring of special hypergraphs in some sense. 相似文献
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Chaofa Deng Yadong Shang 《Communications in Nonlinear Science & Numerical Simulation》2009,14(4):1186-1195
In this paper, He’s variational iteration method is employed to construct periodic wave and solitary wave solutions for the long–short wave resonance equations. The chosen initial solution can be in soliton form with some unknown parameters, which can be determined in the solution procedure. Some examples are given. The results reveal that the method is very effective and convenient. 相似文献
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For a semistable family of varieties over a curve in characteristic $p$ , we prove the existence of a “Clemens–Schmid type” long exact sequence for the $p$ -adic cohomology. The cohomology groups appearing in such a long exact sequence are defined locally. 相似文献
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Oliver Baues Johannes Riesterer 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》2011,81(2):191-213
We characterise the virtually abelian groups which are fundamental groups of compact Kähler manifolds and of smooth projective varieties. We show that a virtually abelian group is Kähler if and only if it is projective. In particular, this allows to describe the Kähler condition for such groups in terms of integral symplectic representations. 相似文献
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The problem of exact nonlocal estimation of the number of limit cycles surrounding one point of rest in a simply connected domain of the real phase space is considered for autonomous systems of differential equations with continuously differentiable right-hand sides. Three approaches to solving this problem are proposed that are based on sequential two-step usage of the Dulac–Cherkas criterion, which makes it possible to find closed transversal curves dividing the connected domain in doubly connected subdomains that surround the point of rest, with the system having precisely one limit cycle in each of them. The effectiveness of these approaches is exemplified with polynomial Liènard systems, a generalized van der Pol system, and a perturbed Hamiltonian system. For some systems, the derived estimate holds true in the entire phase space. 相似文献
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Zhaoxiang Li Erling Wei Jie Xu Yanpei Liu 《Journal of Applied Mathematics and Computing》2010,34(1-2):71-80
This paper provides the chromatic sum function equations of rooted 2-edge-connected maps on the projective plane. The enumerating function equations of rooted 2-edge-connected loopless maps and rooted 2-edge-connected bipartite maps on the projective plane are derived by the chromatic sum function equation of rooted 2-edge-connected maps on the projective plane. 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2014,19(7):2234-2244
In this paper, a nonautonomous mixed mKdV–sinh–Gordon equation with one arbitrary time-dependent variable coefficient is discussed in detail. It is proved that the equation passes the Painlevé test in the case of positive and negative resonances, respectively. Furthermore, a dependent variable transformation is introduced to get its bilinear form. Then, soliton, negaton, positon and interaction solutions are introduced by means of the Wronskian representation. Velocities are found to depend on the time-dependent variable coefficient appearing in the equation and this leads to a wide range of interesting behaviours. The singularities and asymptotic estimate of these solutions are discussed. At last, the superposition formulae for these solutions are also constructed. 相似文献
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Michał Kowalczyk Yong Liu Frank Pacard 《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2012
We are interested in entire solutions of the Allen–Cahn equation Δu−F′(u)=0 which have some special structure at infinity. In this equation, the function F is an even, double well potential. The solutions we are interested in have their zero set asymptotic to 4 half oriented affine lines at infinity and, along each of these half affine lines, the solutions are asymptotic to the one dimensional heteroclinic solution: such solutions are called 4-ended solutions . The main result of our paper states that, for any θ∈(0,π/2), there exists a 4-ended solution of the Allen–Cahn equation whose zero set is at infinity asymptotic to the half oriented affine lines making the angles θ , π−θ, π+θ and 2π−θ with the x-axis. This paper is part of a program whose aim is to classify all 2k -ended solutions of the Allen–Cahn equation in dimension 2, for k?2. 相似文献
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We show that for each integer there is a constant such that every graph that embeds in the projective plane with sufficiently large face–width r has crossing number at least in the orientable surface of genus g. As a corollary, we give a polynomial time constant factor approximation algorithm for the crossing number of projective graphs with bounded degree. 相似文献
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The Ramanujan Journal - Let $$s_{q}$$ denote the sum of digits function in base q. The aim of this work is to estimate the exponential sums involving the sum of digits of shifted integers, namely... 相似文献
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Hugo Bowne-Anderson 《Journal of Algebra》2012,355(1):128-153
In this paper, we construct a vast collection of maximal numerically Calabi–Yau orders utilising a noncommutative analogue of the well-known commutative cyclic covering trick. Such orders play an integral role in the Mori program for orders on projective surfaces and although we know a substantial amount about them, there are relatively few known examples. 相似文献