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排序方式: 共有249条查询结果,搜索用时 31 毫秒
1.
Hochschild cohomology of truncated basic cycle   总被引:9,自引:0,他引:9  
Dimensions of the Hochschild cohomology groups of a truncated algebra of a basic cycle are explicitly given. Project supported by the State Education Commission of China, the Chinese Academy of Sciences and the National Natural Science Foundation of China.  相似文献
2.
Isomorphism classes and automorphism groups of algebras of Weyl type   总被引:6,自引:0,他引:6  
In one of our recent papers, the associative and the Lie algebras of Weyl typeA[D]=A⊗F[D] were defined and studied, whereA is a commutative associative algebra with an identity element over a field F of any characteristic, and F[D] is the polynomial algebra of a commutative derivation subalgebraD ofA. In the present paper, a class of the above associative and Lie algebrasA[D] with F being a field of characteristic 0,D consisting of locally finite but not locally nilpotent derivations ofA, are studied. The isomorphism classes and automorphism groups of these associative and Lie algebras are determined  相似文献
3.
半群代数中理想FA良序基的构造   总被引:6,自引:0,他引:6  
刘卫江  冯果忱 《数学研究》2001,34(3):256-263
讨论了在半群代数k[A]中,如何利用Gause-Jordan消元法去构造半群代数的理想的良序基,进而得到理想的良性基-Groedner-基。  相似文献
4.
Ringel对偶代数的三角分解   总被引:4,自引:1,他引:3       下载免费PDF全文
张跃辉 《数学学报》1999,42(5):815-822
本文证明了树型偏序集的扭双指标代数的Ringel对偶代数存在三角分解,并具体给出了一种三角分解的结构,  相似文献
5.
Geometry of the Moment Map for Representations of Quivers   总被引:3,自引:0,他引:3  
We study the moment map associated to the cotangent bundle of the space of representations of a quiver, determining when it is flat, and giving a stratification of its Marsden–Weinstein reductions. In order to do this we determine the possible dimension vectors of simple representations of deformed preprojective algebras. In an appendix we use deformed preprojective algebras to give a simple proof of much of Kac's Theorem on representations of quivers in characteristic zero.  相似文献
6.
Conjugation-uniqueness of exact Borel subalgebras   总被引:3,自引:0,他引:3  
It is proved that the exact Borel subalgebras of a basic quasi-hereditary algebra are conjugate to each other. Moreover, the inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras. Project supported by the National Natural Science Foundation of China (Grant No. 19771070). and partly supported by the NSF of Hainan Province (Grant No. 19702) and by the Natural Science Foundation of Education Department of Hainan province.  相似文献
7.
Locally finite triangulated categories   总被引:2,自引:0,他引:2  
Jie Xiao  Bin Zhu   《Journal of Algebra》2005,290(2):473-490
A k-linear triangulated category is called locally finite provided for any indecomposable object Y in . It has Auslander–Reiten triangles. In this paper, we show that if a (connected) triangulated category has Auslander–Reiten triangles and contains loops, then its Auslander–Reiten quiver is of the form :
Full-size image (<1K)
By using this, we prove that the Auslander–Reiten quiver of any locally finite triangulated category is of the form , where Δ is a Dynkin diagram and G is an automorphism group of . For most automorphism groups G, the triangulated categories with as their Auslander–Reiten quivers are constructed. In particular, a triangulated category with as its Auslander–Reiten quiver is constructed.  相似文献
8.
关于项链李代数的结构   总被引:2,自引:0,他引:2  
Le Bruyn和V.Ginzbrug最近引入了项链李代数。它是定义在箭图上的一种无限堆李代数,在非交换几何研究中起了重要作用。本研究项链李代数结构,证明了当箭图中有长度大于1的循环时,其项链李代数不是幂零李代数,我们还给出了没有圈的箭图上项链李代数的分解。  相似文献
9.
Simply connected algebras of polynomial growth   总被引:2,自引:0,他引:2  
The representation theory of polynomial growth strongly simply connected finite dimensional algebras over an algebraically closed field is established.  相似文献
10.
Cyclic and Hochschild homology of 2-nilpotent algebras   总被引:2,自引:1,他引:1  
Claude Cibils 《K-Theory》1990,4(2):131-141
We compute the cyclic homology of a 2-nilpotent algebra, using a reduced way of obtaining it for an algebra containing a separable subalgebra as a direct summand.Supported by the Swiss National Foundation, FNSRS.  相似文献
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