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导出范畴
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  derived category
     In the final chapter, we apply the tubular mutations of the derived category of a derived tubular algebra to Lie algebra.
     第五章我们讨论标准代数导出范畴自等价—tubular mutation在李代数中的应用.
短句来源
     Using complexity,we can also study the structure of the A-R quiver of a group algebra. The selfinjective Koszul algebra of finite complexity is an important class of algebras,there is some nice relation between the stable category of such algebras with the derived category of coherent sheaves.
     利用复杂度还可以研究群代数的A-R quiver结构.有限复杂度的自内射Koszul代数是很有重要的一类代数,在这类代数的稳定范畴和凝聚层的导出范畴之间有很好的关系。
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  “导出范畴”译为未确定词的双语例句
     Similar to [KV2], for a Dynkin-algebra A, we prove that there is a bijection between the bi-aisles in Db(A) and thestrictly full triangulated subcategories of Db(A) which are closed under direct sum-mands.
     运用[KV2]中的技巧,对Dynkin型k-代数A的模范畴的有界导出范畴Db(A),我们证明了其上的双aisles与其上的严格的且关于直和项封闭的三角满子范畴存在着一一对应的关系。
短句来源
     The second part of this thesis is due to study the t-structures on the derived cat-egory of a negative dg category. We prove that for a negative dg category A, the derivedcategory D(A) has a natural t-structure defined by the homology groups.
     在第三章中,我们讨论了负dg范畴A的导出范畴D(A)上的t-结构,证明了D(A)上存在着由同调群定义的自然的t-结构。
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     The notion of derived categories (trangulated categories) was first introduced and studied by Grothendieck-Verdier in early sixties of last century, which marks a new starting point of the development of modern algebras. The theory of derived categories establish a beautiful relation between algebras and geometries.
     由Grothendieck-Verdier在上个世纪60年代提出的导出范畴(三角范畴)的概念和建立的理论体系,标志着代数学发展的一个新的里程碑,它架设了代数与几何联系的一座桥梁。
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     This dissertation cencentrates the derived categories and derived equivalences of finite-dimensional algebras and their applications, which includes five chapters altogether.
     本学位论文的研究兴趣始终集中在有限维结合代数的导出范畴和导出等价及应用上。 本学位论文共分五章。
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     In the first chapter, we give a detailed introduction of recent developments in derived categories, Morita's equivalence theory, derived equivalence (autoequivalence) theory, recollements and mutations, automorphisms of Lie algebras, and so on.
     第一章我们对与论文有关的研究方向,包括导出范畴,Morita等价理论,导出等价(自等价)理论和李代数自同构等发展动态做尽可能详细的介绍。
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  相似匹配句对
     Category in a Newkey
     “范畴”新论
短句来源
     Category of the Ceramic Art
     陶艺范畴
短句来源
     INDUCED LIMIT ORDER-HOMOMORPHISMS AND CATEGORICAL PROPERTIES OF INVERS SYSTEMS
     导出极限序同态及逆系统的范畴性质
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     Such formulas of the chromatic aberration are derived.
     导出了色差公式。
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     A set of formulas fur computing are derived.
     导出了计算公式。
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  derived category
In the present paper, we give a description of the derived category of coherent sheaves on a Fano threefold of index 1 and degree 12 (the variety V12).
      
It can easily be shown that if X is a V12 variety, then its derived category contains an exceptional pair of vector bundles (
      
Reconstruction of a Variety from the Derived Category and Groups of Autoequivalences
      
We prove that such a variety is uniquely determined by its derived category of coherent sheaves.
      
The Sebastiani-Thom Isomorphism in the Derived Category
      
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