Homological perturbation theory and associativity
نویسندگان
چکیده
منابع مشابه
Homological Perturbation Theory and Associativitypedro
In this paper, we prove various results concerning DGA-algebras in the context of the Homological Perturbation Theory. We distinguish two class of contractions for algebras: full algebra contractions and semi-full algebra contractions. A full algebra contraction is, in particular , a semi-full algebra contraction. Taking a full algebra contraction and an \algebra perturbation" as data of the Ba...
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As Don Schack mentioned in his plenary talk [SDS], Gerstenhaber [MG] observed that if A is an associative algebra, then the Hochschild cohomology of A is a graded commutative algebra with an additional structure, viz., that of a Lie algebra. The two structures satisfy a compatibility condition (graded Poission structure). We agree to call such structures G–algebras (Gerstenhaber–algebras). Scha...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2000
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2000.v2.n1.a5