Uniqueness and intrinsic properties of non-commutative Koszul brackets

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2016-05-21 DOI:10.1007/s40062-016-0136-0

Marco Manetti

引用次数: 3

Abstract

There exists a unique natural extension of higher Koszul brackets to every unitary associative algebra in a way that every square zero operator of degree 1 gives a curved \(L_{\infty }\) structure.

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非交换Koszul括号的唯一性和内在性质

存在高Koszul括号对每一个酉结合代数的唯一自然扩展，即每一个1次的平方零算子给出一个弯曲的\(L_{\infty }\)结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

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期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.