Cohomology of Lie Conformal Algebra Vir × Cur g

来源 :代数集刊(英文版) | 被引量 : 0次 | 上传用户:lyh993
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
In this article,we compute cohomology groups of the semisimple Lie conformal algebra S =Vir × Cur g with coefficients in its irreducible modules for a finite-dimensional simple Lie algebra g.
其他文献
两次鸦片战争后,左宗棠于1866年创建福州船政,旨在掌握独立建造现代舰船的能力.船政雇佣了法国顾问、工程师、教师和工匠,并建立了一系列法文学堂,进行造船、绘图及学徒教育.前人研究已经几乎探清了福州船政的历史细节,但很少对船政的造船和教育水平给出准确的评估.本文追溯船政造船技术和教育制度的法国源头并进行比较研究,认为在洋人的指导和帮助下,福州船政已经具备组装舰船和仿制蒸汽机的能力,而设计图纸和重要的结构件仍需进口.船政所培养出最优秀的学生或许可以达到法国综合理工学校毕业生的水平,但优质生源难以为续.观念的落
Let (l) and n be positive integers such that l ≥ n,and let Gn,l be the Grassmannian which consists of the set of n-dimensional subspaces of Cl.There is a Z-graded algebra isomorphism between the cohomology H*(Gn,l,Z) of Gn,l and a nat-ural Z-form B of the
We provide the regularity and the Cohen-Macaulay type of binomial edge ideals of Cohen-Macaulay cones,and we show the extremal Betti numbers of some classes of Cohen-Macaulay binomial edge ideals:Cohen-Macaulay bipartite and fan graphs.In addition,we comp
This article concerns a ring property called pseudo-reduced-over-center that is satisfied by free algebras over commutative reduced rings.The properties of radicals of pseudo-reduced-over-center rings are investigated,especially related to polynomial ring
For every simple graph G,a class of multiple clique cluster-whiskered graphs Geπm is introduced,and it is shown that all such graphs are vertex decomposable;thus,the independence simplicial complex IndGeπm is sequentially Cohen-Macaulay.The properties of
A finite group is said to be weakly separable if every algebraic isomorphism between two S-rings over this group is induced by a combinatorial isomorphism.We prove that every abelian weakly separable group only belongs to one of several explicitly given f
杨辉是中国13世纪数学著作的重要作者之一,《详解九章算法》(1261 CE)是现存杨辉最早的一部著作.13~15世纪,杨辉的这部著作在《九章算术》的流传与流行中起到了关键的作用.然而,现存的《详解》刻本残缺不全,并且包含大量舛误,这些阻碍了当代研究者对这部著作的理解.《九章算术》的方程章处理有关我们现在所视作线性方程组的问题,然而阐释《详解》中该章的文本并且恢复与方程有关的数学操作却有困难.通过细致的文本和算法分析,本文作者解释了杨辉对于“方程法”和“正负法”的理解和操作.《详解》中与“正负法”相关的一些
The concept of an HX-group is an upgrade of the concept of a group,in which a new operation is defined on the family of non-empty subsets of a group.If this new support set together with the new operation is a group,then we call it an HX-group.On the othe
For a partition λ and a prime p,we prove a necessary and sufficient condition for there to exist a composition δ such that δ can be obtained from λ after rearrangement and no partial sums of δ are divisible by p.To demonstrate why we are interested in the