dorsal/arxiv
View SchemaA master identity for homotopy Gerstenhaber algebras
| Authors | Fusun Akman |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9710004 |
| URL | https://arxiv.org/abs/q-alg/9710004 |
Abstract
We produce a master identity {m}{m}=0 for homotopy Gerstenhaber algebras, as defined by Getzler and Jones and utilized by Kimura, Voronov, and 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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"abstract": "We produce a master identity {m}{m}=0 for homotopy Gerstenhaber algebras, as\ndefined by Getzler and Jones and utilized by Kimura, Voronov, and Zuckerman in\nthe context of topological conformal field theories. To this end, we introduce\nthe notion of a \"partitioned multilinear map\" and explain the mechanics of\ncomposing such maps. In addition, many new examples of pre-Lie algebras and\nhomotopy Gerstenhaber algebras are given.",
"arxiv_id": "q-alg/9710004",
"authors": [
"Fusun Akman"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
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"title": "A master identity for homotopy Gerstenhaber algebras",
"url": "https://arxiv.org/abs/q-alg/9710004"
},
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