On the E-infinity Algebras
نویسندگان
چکیده
منابع مشابه
Infinity-inner-products on A-infinity-algebras
In this paper the Hochschild-cochain-complex of an A∞-algebra A with values in an A∞-bimodule M over A and maps between them is defined. Then, an∞-inner-product on A is defined to be an A∞-bimodule-map between A and its dual A∗. There is a graph-complex associated to A∞-algebras with ∞-inner-product.
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولIterated Bar Complexes of E-infinity Algebras and Homology Theories
We proved in a previous article that the bar complex of an E∞algebra inherits a natural E∞-algebra structure. As a consequence, a welldefined iterated bar construction Bn(A) can be associated to any algebra over an E∞-operad. In the case of a commutative algebra A, our iterated bar construction reduces to the standard iterated bar complex of A. The first purpose of this paper is to give a direc...
متن کاملA-infinity Structure on Ext-algebras
Let A be a connected graded algebra and let E denote its Extalgebra L i Ext i A(kA, kA). There is a natural A∞-structure on E, and we prove that this structure is mainly determined by the relations of A. In particular, the coefficients of the A∞-products mn restricted to the tensor powers of ExtA(kA, kA) give the coefficients of the relations of A. We also relate the mn’s to Massey products.
متن کاملOn the Infinity Category of Homotopy Leibniz Algebras
We discuss various concepts of ∞-homotopies, as well as the relations between them (focussing on the Leibniz type). In particular ∞-n-homotopies appear as the n-simplices of the nerve of a complete Lie ∞-algebra. In the nilpotent case, this nerve is known to be a Kan complex [Get09]. We argue that there is a quasi-category of ∞-algebras and show that for truncated ∞-algebras, i.e. categorified ...
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ژورنال
عنوان ژورنال: European Journal of Pure and Applied Mathematics
سال: 2021
ISSN: 1307-5543
DOI: 10.29020/nybg.ejpam.v14i2.3905