共查询到20条相似文献,搜索用时 15 毫秒
1.
Grzegorz Bobinski 《Transactions of the American Mathematical Society》2008,360(2):717-742
We classify canonical algebras such that for every dimension vector of a regular module the corresponding module variety is normal (respectively, a complete intersection). We also prove that for the dimension vectors of regular modules normality is equivalent to irreducibility.
2.
Raja Sridharan 《K-Theory》1998,13(3):269-278
Let A be a Noetherian ring of dimension n and P be a projective A module of rank n having trivial determinant. It is proved that if n is even and the image of a generic element g P* is a complete intersection, then [P] = [Q A] in K0(A) for some projective A module Q of rank n – 1. Further, it is proved that if n is odd, A is Cohen–Macaulay and [P] = [Q A] in K0(A) for some projective A module Q of rank n – 1, then P has a unimodular element. 相似文献
3.
Hagen Meltzer 《Algebras and Representation Theory》2007,10(5):481-496
Let Λ be a tubular canonical algebra of quiver type over a field. We show that each exceptional Λ-module can be exhibited
by matrices involving as coefficients 0, 1 and –1 if Λ is of type (3,3,3), (2,4,4) or (2,3,6) and by matrices involving as
coefficients 0, 1, –1, λ, –λ and λ–1 if Λ is of type (2,2,2,2) and defined by a parameter λ.
Presented by Claus M. Ringel. 相似文献
4.
5.
本文我们研究了两类$W$-型李代数$g(\lambda)$的Verma模的结构. 在一定条件下,我们决定了这些Verma模的可约性及相应的奇异向量. 相似文献
6.
Let Λ be a finite-dimensional algebra over an algebraically closed field k. We denote by mod Λ the category of finitely generated left Λ-modules. Consider the family ℱ(u) of the indecomposables M∈mod Λ such that
, where
is the subspace of morphisms which factorize through semisimple modules. If P,Q are projectives in mod Λ, ℱ(u)(P,Q) is the family of those modules M∈ℱ(u) such that a minimal projective presentation is of the formfM: P→Q. We prove that if Λ is of tame representation type then each ℱ(P,Q) has only a finite number of isomorphism classes or is parametrized by μ(u,P,Q) one-parameter families. We give an upper bound for this number in terms of u,P and Q. Then we give some sufficient conditions for tame of polynomial growth type. For the proof we consider similar results for
bocses.
Presented by Y. Drozd
Mathematics Subject Classifications (2000) 16G60, 16G70, 16G20. 相似文献
7.
代数表示理论是上个世纪七十年代初兴起的代数学的—个新的分支,而倾斜理论是研究代数表示理论的重要工具之一.本文主要对Dn型路代数倾斜模在其对应的AR-箭图上的结构特点进行研究.通过对Dn型路代数A的AR-箭图ΓA分析,证明了:Dn型路代数倾斜模T的—个必要条件是。〈T〉中至少有三个边缘点. 相似文献
8.
Claudio Schmidt-Wegenast 《代数通讯》2013,41(2):715-725
Let X be an indecomposable regular module over a connected wild hereditary path-algebra. The main result is a factorization property for maps in the radical of End H (X) and an upper bound for its degree of nilpotency. The bound is sharp if X has elementary quasi-top. In this, case the socle of End H (X) can also be characterized. 相似文献
9.
Kenji Nishida 《Algebras and Representation Theory》2002,5(2):137-147
We provide a criterion for a -bimodule to be a dualizing module, where is an order over a commutative Gorenstein complete local domain of dim R=1. Using this criterion, we give examples of dualizing modules which are neither isomorphic to nor a dual of . Thus we can also give such examples over an Artin algebra by modulo a nonzerodivisor. 相似文献
10.
Grzegorz Bobiński 《代数通讯》2013,41(7):2454-2463
We show that for a class of modules over shod algebras, including the canonical tilting modules, the closures of the corresponding orbits in module varieties are regular in codimension one. 相似文献
11.
设F是特征零的域,L是F上的带三角分解的李代数,L^-是相应的Loop代数.本文将定义L^-上赋值模的概念,并给出其不可约模的张量积是不可约模的等价条件. 相似文献
12.
Dn型路代数本性倾斜模的一个必要条件 总被引:1,自引:1,他引:0
倾斜理论是研究代数表示理论的重要工具之一.本文主要对Dn(n≥4),E6,E7,E8型路代数倾斜模在其对应的AR-箭图上的结构持点进行研究.通过对Dn(n≥4),上E6,E7,E8型路代数A的AR-箭图ΓA分析证明了Dn≥4),E6,E7,E8型路代数本性慨斜模TA的一个必要条件是:在A的AR-箭图ΓA的每个边缘的r-轨道都有TA的不可分解直和项对应的点. 相似文献
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14.
A reductive monoid M is called 𝒥-irreducible if M?{0} has exactly one minimal G × G-orbit. There is a canonical cellular decomposition for such monoids. These cells are defined in terms of idempotents, B × B-orbits, and other natural monoid notions. But they can also be obtained by the method of one-parameter subgroups. This decomposition leads to a number of important combinatorial and topologial properties of the monoid of B × B-orbits of M. In case M?{0} is rationally smooth these cells are closely related to affine spaces. They can be used to calculate the Betti numbers of a certain projective variety. 相似文献
15.
This note investigates the modules over the endomorphism algebras of maximal rigid objects in 2-Calabi-Yau triangulated categories. We study the possible complements for almost complete tilting modules. Combining with Happel's theorem, we show that the possible exchange sequences for tilting modules over such algebras are induced by the exchange triangles for maximal rigid objects in the corresponding 2-Calabi-Yau triangulated categories. For the modules of infinite projective dimension, we generalize a recent result by Beaudet–Brüstle–Todorov for cluster-tilted algebras. 相似文献
16.
Long Bialgebras, Dimodule Algebras and Quantum Yang-Baxter Modules over Long Bialgebras 总被引:8,自引:0,他引:8
Liang Yun ZHANG 《数学学报(英文版)》2006,22(4):1261-1270
This paper gives a sufficient and necessary condition for a bialgebra to be a Long bialgebra, and proves a braided product to be a Long bialgebra under some conditions. It also gives a direct sum decomposition of quantum Yang-Baxter modules over Long bialgebras. 相似文献
17.
Jin Yun GUO Quan Hong WAN Qiu Xian WU 《数学学报(英文版)》2007,23(11):1967-1984
We prove that the Koszul modules over an exterior algebra can be filtered by the cyclic Koszul modules. We also introduce the cyclic dimension vector as invariants for studying the Koszul modules over an exterior algebra. 相似文献
18.
设■为Banach空间X上的套,D为Alg■的弱闭Jordan模.若对任意N∈■,dim(N/■_)≠1与N拓扑可补至少有一个成立,则■必为Alg■的模. 相似文献
19.
We construct a generalization of the BGG-category O, whose blocks correspond to standardly stratified algebras. We prove reciprocity formulae in these categories and present two classes of examples. 相似文献
20.
P. Bradley 《Annals of Global Analysis and Geometry》2000,18(2):129-151
Ginzburg, Guillemin, and Karshon investigated, for compactAbelian groups G, the question: ‘When is anabstract moment map a moment map in the usual pre-symplectic sense?’ Weconsider the analogous question for non-Abelian groups and show that itis closely connected to the problem of determining the representationstructure of certain modules, known as Jacobian modules, which arenaturally attached to a linear action of G. 相似文献