共查询到20条相似文献,搜索用时 46 毫秒
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Liang-yun Zhang 《Siberian Mathematical Journal》2006,47(4):767-778
Given an (H,R)-Lie coalgebra Γ, we construct (H,R T )-Lie coalgebra ΓT through a right cocycle T, where (H,R) is a triangular Hopf algebra, and prove that there exists a bijection between the set of (H,R)-Lie coalgebras and the set of ordinary Lie coalgebras. We also show that if (L, [, ], Δ, R) is an (H,R)-Lie bialgebra of an ordinary Lie algebra then (L T , [, ], ΔT, R T ) is an (H,R T )-Lie bialgebra of an ordinary Lie algebra. 相似文献
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Using methods developed by Graver and Yackel, and various computer algorithms, we show that 28 ≤ R(3, 8) ≤ 29, and R(3, 9) = 36, where R(k, l) is the classical Ramsey number for 2-coloring the edges of a complete graph. 相似文献
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Functional Analysis and Its Applications - 相似文献
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The Ramsey number R(4, 5) is defined to be the least positive integer n such that every n-vertex graph contains either a clique of order 4 or an independent set of order 5. With the help of a long computation using novel techniques, we prove that R(4, 5) = 25. © 1995 John Wiley & Sons, Inc. 相似文献
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S. S. Ryshkov 《Mathematical Notes》1974,16(3):855-858
In this paper we give a complete geometrical theory for the study of the exact lower bound of the density of n-dimensional lattices. For arbitrary (r, R)-systems we prove an analog of well known theorems due to Rogers from the theory of packings, and also from this same theory, an analog of a theorem due to Coxeter, Few, and Rogers. Several special examples are treated. 相似文献
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A. I. Vinogradov 《Journal of Mathematical Sciences》1990,52(3):3022-3025
It is shown that in the spectral decomposition of the one-parameter Poincaré series from SL(3, R) involves only the discrete
spectrum, induced from SL2 and not the discrete spectrum of SL3 itself.
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR,
Vol. 160, pp. 37–40, 1987. 相似文献
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B. P. Duggal 《Rendiconti del Circolo Matematico di Palermo》1937,61(1):143-149
A Banach space operator satisfies property (R) if the set of its finite multiplicity isolated eigenvalues equals the set of its finite rank left poles. Property (R) transfers from operators A and B to their tensor product A?B. Asymptotic intertwining by the identity operator does not preserve property (R). Additional hypotheses are required. 相似文献
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SL(2,R)上的Hardy-Littlewood极大函数 总被引:1,自引:0,他引:1
给出了SL(2 ,R)上的Hardy Littlewood极大函数mf 和局部Hardy Littlewood极大函数mRf 的定义 ,对f∈L1(G) ,我们得到了 | {g∈SL(2 ,R) |mf(g) >λ} |的估计 ,且证明了局部Hardy Littlewood极大函数的弱(1.1)型和强 (p ,p)型 ,p >1. 相似文献
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Xiang-dong Hou 《Designs, Codes and Cryptography》1996,8(3):285-292
We prove that the covering radius of the Reed-Muller code R(1, 9) in R(4, 9) is 240, not exceeding the quadratic bound.Research supported by NSA Grant MDA 904-93-H-3025 相似文献
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Philip W. Smith 《Journal of Approximation Theory》1974,10(4):337-357
In [3] Golomb describes, for 1 < p < ∞, the Hr,p(R)-extremal extension of a function (i.e., the Hr,p-spline with knots in E) and studies the cone of all such splines. We study the problem of determining when is in Wr,p ≡ Hr,p ∩ Lp. If , then is called a Wr,p-spline, and we denote by the cone of all such splines. If E is quasiuniform, then if and only if . The cone with E quasiuniform is shown to be homeomorphic to lp. Similarly, is homeomorphic to hr,p. Approximation properties of the Wr,p-splines are studied and error bounds in terms of the mesh size are calculated. Restricting ourselves to the case p = 2 and to quasiuniform partitions E, the second integral relation is proved and better error bounds in terms of are derived. 相似文献
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