The purpose of this chapter is to review elementary facts about homological algebra used in the scope of this thesis. In a first part we recall the notions of associative and commutative algebras and establish in this context the terminology for the tensor-, symmetric- and exterior algebra. We...
Differential graded algebra Differential Graded Lie Algebra Differential Group Delay differential growth Differential Hall Effect Microscopy differential heat of dilution differential heat of solution differential heating differential hemolysis differential hemolysis ...
Differential homological algebra and homogeneous spaces - Husemoller, Moore, et al. - 1974 () Citation Context ...ral in terms of the data. 13Proof. View g as an abelian differential graded Lie algebra, and consider the ordinary loop algebra contraction ( S[g] ΩBS[g], h Ω ) (...
Differential graded Lie algebras . . . . . . . . . . . . . . . . . . . . . . . . 6 We mostly follow the corresponding entries of the nLab 1 . However we omit the term “pre-” from everything and use cohomological grading. 1. V 1.1. G Let be a field (the ...
Differential graded algebra techniques have played a crucial role in the development of homological algebra, especially in the study of homological properties of commutative rings carried out by Serre, Tate, Gulliksen, Avramov, and other... L Ferraro,WF Moore - 《Transactions of the American Mathem...
Let A be a graded algebra or a differential graded algebra. Adjoining a set x of free (in any sense) indeterminates, we make a new differential graded algebra A 〈 x 〉 by setting the differential values d : x → A on x . In the general case, such a construction is called the ...
We give a differential homological algebra interpretation for twilled LR-algebras and by means of it we elucidate the notion of generator in terms of homological duality for differential graded LR-algebras. 展开 收藏 引用 批量引用 报错 分享 ...
V: Deformation of differential graded algebras M Gerstenhaber,CW Wilkerson 被引量: 1476发表: 1999年 Homological properties of cochain Differential Graded algebras Consider a local chain Differential Graded algebra, such as the singular chain complex of a pathwise connected topological group. In two ...
In the present paper, we introduce the concept of a filtered E∞-algebra, construct spectral sequences for such algebras, and apply them to multiplicative cohomological spectral sequencesof bundles. The existence of the structure of D∞-differential A∞-algebras in cohomological spectral sequences ...
This is a graded associativealgebra that is at the same time the enveloping algebra of a Lie–Rinehart algebra: anexplicit calculation with the spectral sequence allows us to compute the Hilbert seriesof its Hochschild cohomology. We conclude by giving two other examples of algebras inwhich the ...