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41.
Ringel对偶代数的三角分解 总被引:4,自引:1,他引:3
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
42.
We prove that the free metabelian Lie algebra M 3 of rank 3 over an arbitrary field K admits strictly nontame primitive elements. 相似文献
43.
JinYun Guo 《中国科学A辑(英文版)》2009,52(3):511-516
In this paper, we introduce the m-Cartan matrix and observe that some properties of the quadratic form associated to the Cartan matrix of an Euclidean diagram
can be generalized to the m-Cartan matrix of a McKay quiver. We also describe the McKay quiver for a finite abelian subgroup of a special linear group.
This work was supported by National Natural Science Foundation of China (Grant No. 10671061) and the Research Foundation for
Doctor Programme (Grant No. 200505042004) 相似文献
44.
Geometry of the Moment Map for Representations of Quivers 总被引:3,自引:0,他引:3
William Crawley-Boevey 《Compositio Mathematica》2001,126(3):257-293
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
45.
46.
In this paper, we answer the question of when the subcategory of semi-stable representations is the same for two rational vectors for an acyclic quiver. This question has been previously answered by Ingalls, Paquette, and Thomas in the tame case in [14]. Here we take a more invariant theoretic approach, to answer this question in general. We recover the known result in the tame case. 相似文献
47.
Alexander H. W. Schmitt 《Algebras and Representation Theory》2003,6(1):1-32
To every oriented tree we associate vector bundle problems. We define semistability concepts for these vector bundle problems and establish the existence of moduli spaces. As an important application, we obtain an algebraic construction of the moduli space of holomorphic triples. 相似文献
48.
In this paper,we introduce a polynomial sequence in K[x],in which two neigh- bor polynomials satisfy a wonderful property.Using that,we give partial answer of an open problem:ifφ(x,y,z)=(f(x,y),g(x,y,z),z),which sends every linear coordinate to a coor- dinate,thenφis an automorphism of K[x,y,z].As a byproduct,we give an easy proof of the welt-known Jung's Theorem. 相似文献
49.
Tate's algorithm for computing O for rings of integers in a number field has been adapted for the computer and gives explicit generators for the group and sharp bounds on their order – the latter, together with some structural results on the p-primary part of O due to Tate and Keune, gives a proof of its structure for many number fields of small discriminants, confirming earlier conjectural results. For the first time, tame kernels of non-Galois fields are obtained. 相似文献
50.
We consider a class of algebras whose Auslander-Reiten quivers have starting components that are not generalized standard.
For these components we introduce a generalization of a slice and show that only in finitely many cases (up to isomorphism)
a slice module is a tilting module.
The first named author was supported by the Polish Scientific Grant KBN No 1 P03A 018 27 相似文献