A Master Identity for Homotopy Gerstenhaber Algebras

A Master Identity for Homotopy Gerstenhaber Algebras
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同伦格斯顿哈伯代数的主恒等式

DOI:
10.1007/s002200050015
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发表时间:
1997
影响因子:
2.4
通讯作者:
Fusun Akman
Fusun Akman
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Fusun Akman

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We produce a master identity \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} for a certain type of homotopy Gerstenhaber algebras, in particular suitable for the prototype, namely the Hochschild complex of an associative algebra. This algebraic master identity was inspired by the work of Getzler–Jones and Kimura–Voronov–Zuckerman in the context of topological conformal field theories. To this end, we introduce the notion of a “partitioned multilinear map” and explain the mechanics of composing such maps. In addition, many new examples of pre-Lie algebras and homotopy Gerstenhaber algebras are given.
We produce a master identity \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} for a certain type of homotopy Gerstenhaber algebras, in particular suitable for the prototype, namely the Hochschild complex of an associative algebra. This algebraic master identity was inspired by the work of Getzler–Jones and Kimura–Voronov–Zuckerman in the context of topological conformal field theories. To this end, we introduce the notion of a “partitioned multilinear map” and explain the mechanics of composing such maps. In addition, many new examples of pre-Lie algebras and homotopy Gerstenhaber algebras are given.
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DOI: --
发表时间: 2009
期刊:
影响因子: --
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H. Irie;T. Otofuji;K.Fukaya;伊藤秀史;S.Koike;T. Funaki;金銅誠之;Yoshiaki Maeda
通讯作者: Yoshiaki Maeda
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DOI: --
发表时间: 2020
期刊: the Proceedings of the Conference on Vertex Operator Algebras, Number Theory and Related Topics
影响因子: --
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通讯作者: Masahiko Miyamoto