Journal ArticleDOI
The Cohomology Structure of an Associative Ring
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This article is published in Annals of Mathematics.The article was published on 1963-09-01. It has received 1459 citations till now. The article focuses on the topics: Equivariant cohomology & Cup product.read more
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On the Deformation of Rings and Algebras
TL;DR: In this article, the deformation theory for algebras is studied in terms of the set of structure constants as a parameter space, and an example justifying the choice of parameter space is given.
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Introduction to SH Lie algebras for physicists
Tom Lada,Jim Stasheff +1 more
TL;DR: In this paper, Stasheff et al. introduced the Lie algebra of closed string theory and proved that the full Fock complex of the theory is a Lie algebra, with the BRST difierential Q.
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Operads in algebra, topology, and physics
TL;DR: Operads are mathematical devices that describe algebraic structures of many varieties and in various categories as discussed by the authors, and are particularly important in categories with a good notion of homotopy, where they play a key role in organizing hierarchies of higher homotopies.
Book
Geometric Models for Noncommutative Algebras
TL;DR: The Poincare-Birkhoff-Witt theorem as discussed by the authors describes a Poisson geometry for algebraic deformation theory, which is a generalization of Weyl algebras.
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Operads, homotopy algebra and iterated integrals for double loop spaces
Ezra Getzler,John D. S. Jones +1 more
TL;DR: In this paper, the authors provide some background to the theory of operads, used in the first author's papers on 2D topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th /9305013).