共查询到20条相似文献,搜索用时 93 毫秒
1.
通过广义限制李代数的定义,得到了所有具有三角分解的李代数的广义限制单模,并且作为一个例子,计算了李代数V3G的所有广义限制单模以及它们的维数. 相似文献
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蒋志洪 《数学年刊A辑(中文版)》2001,(4)
本文研究具有三角分解可解李代数和它的表示,探讨了具有三角分解可解李代数是广义限制李代数 的条件,对于某些 S ∈ Map(B,F),在u s(L,S)-模的范畴里,确定了不可约模和主不可分解模,并 对u s(L,S)的块进行了描述. 相似文献
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本文研究具有三角分解可解李代数和它的表示,探讨了具有三角分解可解李代数是广义限制李代数的条件,对于某些s∈Map(B,F),在uφ2(L,S)-模的范畴里,确定了不可约模和主不可分解模,并对upuφ2,L,S)的块进行了描述. 相似文献
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本文将应用广义限制李代数的概念来研究具有三角分解李代数的积分元和中心扩张的关系.对于给定的广义限制普遍包络代数,我们确定了它的积分元并且提供了一种计算dim H2(L,F)的方法. 相似文献
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本文研究了三角代数的自同构.利用三角代数的基本概念及自同构定义,得到三角代数的自同构形式,并刻画了其内自同构的具体形式. 相似文献
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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
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本文提出一种利用多项式系统的正规零点分解的算法来求解代数方程组以及带有参数的代数方程组的方法.对于给定的的代数方城组,通过正规分解,可以得到一组具有三角形式的分解.根据这种三角形式,我们可以给出代数方程组的所有解.而对于带有参数方程组,将给出方程组有解时参数需满足的条件.进一步,对于给定的参数值,正规分解中得到三角形式仍然保持,通过求解三角形式的方程组从而得出原参数方程组的解. 相似文献
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三角Jacobi双代数胚是Mackenzie,徐平所定义的三角李双代数胚的推广.本文将讨论三角Jacobi双代数胚的一些性质,并利用Nijenhuis张量使之成为形变的Jacobi双代数胚.从而可以得到一个Jacobi-Nijenhuis流形. 相似文献
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A diagram algebra in which the diagrams include n rows of n points is constructed. Moreover, we prove that the algebra is cellular and quasi-hereditary. 相似文献
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Qi Xia 《高校应用数学学报(英文版)》2010,25(1):117-126
In this paper, we generalize two kinds of graded algebras, δ-Koszul algebras and K p algebras, to the non-graded cases. The trivial modules of δ-Koszul algebras have pure resolutions, while those of K p algebras admit non-pure resolutions. We provide necessary and sufficient conditions for a notherian semiperfect algebra either to be a quasi-δ-Koszul algebra or to be a quasi-K p algebra. 相似文献
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A. P. Pojidaev 《代数通讯》2013,41(10):3593-3608
Derivations of the simple ternary Malcev algebra M 8 and its algebra of multiplications are described. 相似文献
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WEN Dao-wei 《高校应用数学学报(英文版)》2014,29(1):119-126
In this article, we consider endomorphism algebras of direct sums of some local left ideals over a local algebra and give a construction of quasi-hereditary algebras. 相似文献
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We introduce a generalization of the notion of a Koszul algebra, which includes graded algebras with relations in different
degrees, and we establish some of the basic properties of these algebras. This class is closed under twists, twisted tensor
products, regular central extensions and Ore extensions. We explore the monomial algebras in this class and we include some
well-known examples of algebras that fall into this class. 相似文献
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The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. 𝒦2 algebras are a natural generalization of Koszul algebras, and one would hope that the Yoneda algebra of a 𝒦2 algebra would be another 𝒦2 algebra. We show that this is not necessarily the case by constructing a monomial 𝒦2 algebra for which the corresponding Yoneda algebra is not 𝒦2. 相似文献
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We discuss certain homological properties of graded algebras whose trivial modules admit nonpure resolutions. Such algebras include both of Artin–Schelter regular algebras of types (12221) and (13431). Under certain conditions, a module with nonpure resolution is decomposed to form an extension by two modules with pure resolutions. 相似文献
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It is proved that, for any metabelian Mal'tsev algebra M over a field of characteristic 2,3, there is an alternative algebra A such that the algebra M can be embedded in the commutator algebra A(-). Moreover, the enveloping alternative algebra A can be found in the variety of algebras with the identity [x,y][z,t] = 0. The proof of this result is based on the construction of additive bases of the free metabelian Mal'tsev algebra and the free alternative algebra with the identity [x,y][z,t] = 0. 相似文献
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