△-tame拟遗传代数

设(K,M,H)是上三角双模问题,Br(u)stle和Hille证明了(K,M,H)的矩阵范畴Mat(K,M)的投射生成子P的自同态代数的反代数A是拟遗传代数,而且代数A的△好模范畴与Mat(K,M)等价.本文基于双模问题的tame定理,证明了如果由上三角双模问题所对应的拟遗传代数A是△-tame表示型的,则F(△)具有齐次性质,即F(△)中的几乎所有的模都同构于它的Auslander-Reiten变换;进一步地,如果(K,M,H)是上三角双分双模问题,则A是△-tame表示型的当且仅当F(△)具有齐次性质.     

Centralinvariants of ρ-Lie algebras in Yetter-Drinfeldcategories

The central invariants of the derived ρ-Lie algebras in Yetter-Drinfeld categories are studied.     

WHEN CAN THE STABLE ALGEBRA DETERMINE THE STRUCTURE OF A C^＊-ALGEBRA ？

ＷＨＥＮＣＡＮＴＨＥＳＴＡＢＬＥＡＬＧＥＢＲＡＤＥＴＥＲＭＩＮＥＴＨＥＳＴＲＵＣＴＵＲＥＯＦＡＣ－ＡＬＧＥＢＲＡ？￥ＷＵＬＩＡＮＧＳＥＮＡｂｓｔｒａｃｔ：ＬｅｔＡａｎｄＢｂｅＣ－ａｌｇｅｂｒａｓ．ＳｕｐｐｏｓｅｔｈａｔＫｉｓｔｈｅａｌｇｅｂｒａｏｆａ...     

Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras

We give a classification of Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st). Then we find out that not all Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st) are triangular coboundary.     

On interpolation for Hrmander’s algebras

We discuss some recent results on interpolation problems for weighted Hrmander’s algebras of holomorphic functions in several complex variables, and also give a sharp estimate on counting functions of interpolating varieties.     

Frobenius bimodules and flat-dominant dimensions

We establish relations between Frobenius parts and between flat-dominant dimensions of algebras linked by Frobenius bimodules.This is motivated by the Nakayama conjecture and an approach of MartinezVilla to the Auslander-Reiten conjecture on stable equivalences.We show that the Frobenius parts of Frobenius extensions are again Frobenius extensions.Furthermore,let A and B be finite-dimensional algebras over a field k,and let domdim(_AX)stand for the dominant dimension of an A-module X.If_BM_A is a Frobenius bimodule,then domdim(A)domdim(_BM)and domdim(B)domdim(_AHom_B(M,B)).In particular,if B■A is a left-split(or right-split)Frobenius extension,then domdim(A)=domdim(B).These results are applied to calculate flat-dominant dimensions of a number of algebras:shew group algebras,stably equivalent algebras,trivial extensions and Markov extensions.We also prove that the universal(quantised)enveloping algebras of semisimple Lie algebras are QF-3 rings in the sense of Morita.     

A New Class of Complementarity Function and the Boundedness of Its Merit Function for Symmetric Cone Complementarity Problem

In this paper, we introduce a new class of two-parametric penalized function, which includes the penalized minimum function and the penalized Fischer-Burmeister flmc- tion over symmetric cone complementarity problems. We propose that this class of function is a class of complementarity functions（C-function）. Moreover, its merit function has bounded level set under a weak condition.     

Δ-tame拟遗传代数

设(K, M, H)是上三角双模问题, Brüstle 和Hille证明了(K, M, H)的矩阵范畴Mat((K, M)的投射生成子P 的自同态代数的反代数A是拟遗传代数, 而且代数A的Δ 好模范畴与Mat((K, M)等价. 本文基于双模问题的tame定理, 证明了如果由上三角双模问题所对应的拟遗传代数A是Δ-tame表示型的, 则 F(Δ)具有齐次性质, 即F(Δ)中的几乎所有的模都同构于它的Auslander-Reiten变换; 进一步地, 如果(K, M, H)是上三角双分双模问题, 则A是Δ-tame表示型的当且仅当 F(Δ)具有齐次性质.     

Δ-tame拟遗传代数

设(K,M,H)是上三角双模问题,Brüstle和Hille证明了(K,M,H)的矩阵范畴Mat(K,M)的投射生成子P的自同态代数的反代数A是拟遗传代数,而且代数A的Δ好模范畴与Mat(K,M)等价．本文基于双模问题的tame定理,证明了如果由上三角双模问题所对应的拟遗传代数A是Δ-tame表示型的,则F(Δ)具有齐次性质,即F(Δ)中的几乎所有的模都同构于它的Auslander-Reiten变换;进一步地,如果(K,M,H)是上三角双分双模问题,则A是Δ-tame表示型的当且仅当F(Δ)具有齐次性质．     

三角导子李代数的中心扩张

In this paper,we study a class of subalgebras of the Lie algebra of vector fields on n-dimensional torus,which are called the Triangular derivation Lie algebra.We give the structure and the central extension of Triangular derivation Lie algebra.     

Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras

This paper studies the concepts of a totally compatible dialgebra and a totally compatible Lie dialgebra,defined to be a vector space with two binary operations that satisfy individual and mixed associativity conditions and Lie algebra conditions respectively.We show that totally compatible dialgebras are closely related to bimodule algebras and semi-homomorphisms.More significantly,Rota-Baxter operators on totally compatible dialgebras provide a uniform framework to generalize known results that Rota-Baxter related operators give tridendriform algebras.Free totally compatible dialgebras are constructed.We also show that a Rota-Baxter operator on a totally compatible Lie dialgebra gives rise to a PostLie algebra,generalizing the fact that a Rota-Baxter operator on a Lie algebra gives rise to a PostLie algebra.     

Complex Kumjian–Pask Algebras

LetΛbe a row-fnitek-graph without sources.We investigate the relationship between the complex Kumjian-Pask algebra KPC(Λ)and graph algebra C(Λ).We identify situations in which the Kumjian-Pask algebra is equal to the graph algebra,and the conditions in which the Kumjian-Pask algebra is fnite-dimensional.     

ENTIRE CHROMATIC NUMBER AND △-MATCHING OF OUTERPLANE GRAPHS

Let G be an outerplane graph with maximum degree A and the entire chromatic number Xvef（G）. This paper proves that if △ ≥6, then △＋ 1≤Xvef（G）≤△＋ 2, and Xvef （G） = △＋ 1 if and only if G has a matching M consisting of some inner edges which covers all its vertices of maximum degree.     

A second order isoparametric finite element method for elliptic interface problems

A second order isoparametric finite element method (IPFEM) is proposed for elliptic interface problems. It yields better accuracy than some existing second-order methods, when the coefficients or the flux across the immersed curved interface is discontinuous. Based on an initial Cartesian mesh, a mesh optimization strategy is presented by employing curved boundary elements at the interface, and an incomplete quadratic finite element space is constructed on the optimized mesh. It turns out that the number of curved boundary elements is far less than that of the straight one, and the total degree of freedom is almost the same as the uniform Cartesian mesh. Numerical examples with simple and complicated geometrical interfaces demonstrate the efficiency of the proposed method.     

以幂零李代数R_n为幂零根基的可解李代数(英文)

In this paper we explicitly determine automorphism group of filiform Lie algebra Rn to find the indecomposable solvable Lie algebras with filiform Lie algebra Rn nilradicals.We also prove that the indecomposable solvable Lie algebras with filiform Rn nilradicals is complete.     

L~p与△~p空间的小波逼近定理

定义了线性小波算子序列 ,运用其概率性质研究其对Lp 与△p 空间函数的逼近性质 ,建立了相应的逼近等价定理 .     

有限左 duo P-(△-)半群的分类

本文证明有限左 duo P-半群共有九类,有限左 duo△-半群共有七类,并给出各类半群的构造.     

Composite penalty method of a low order anisotropic nonconforming finite element for the Stokes problem

Composite penalty method of a low order anisotropic nonconforming quadrilateral finite element for the Stokes problem is presented. This method with a large penalty parameter can achieve the same accuracy as the stand method with a small penalty parameter and the convergence rate of this method is two times as that of the standard method under the condition of the same order penalty parameter. The superconvergence for velocity is established as well. The results of this paper are also valid to the most of the known nonconforming finite element methods.     

自由半群的估计熵和△-弱混合集

本文对自由半群作用的动力系统引入了估计熵和△-弱混合集的概念,得到一些性质.通过引入△-熊混沌集,给出了△-弱混合集的一个等价刻画.