Operad with a prescribed element

Xuan Yu

doi:10.1142/S0219498818501748

Operad with a prescribed element

Xuan Yu^*

^*Corresponding author for this work

Sun Yat-Sen University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We study operad with a prescribed element (of its underlying degree one component), generalize some of the classical results of Gerstenhaber and Voronov [M. Gerstenhaber and A. A. Voronov, Homotopy G-algebras and moduli space operad, Int. Math. Res. Not. 3 (1995) 141-153]. In particular, we introduce and show that Hom-Loday algebra cohomologies carry such structures when the Hom-structure twist is an idempotent.

Original language	English
Article number	18501748
Journal	Journal of Algebra and its Applications
Volume	17
Issue number	9
DOIs	https://doi.org/10.1142/S0219498818501748
Publication status	Published - 1 Sept 2018
Externally published	Yes

Keywords

Gerstenhaber algebras
Hochschild cohomology
Hom-Loday algebras
Operad

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10.1142/S0219498818501748

Cite this

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abstract = "We study operad with a prescribed element (of its underlying degree one component), generalize some of the classical results of Gerstenhaber and Voronov [M. Gerstenhaber and A. A. Voronov, Homotopy G-algebras and moduli space operad, Int. Math. Res. Not. 3 (1995) 141-153]. In particular, we introduce and show that Hom-Loday algebra cohomologies carry such structures when the Hom-structure twist is an idempotent.",

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AB - We study operad with a prescribed element (of its underlying degree one component), generalize some of the classical results of Gerstenhaber and Voronov [M. Gerstenhaber and A. A. Voronov, Homotopy G-algebras and moduli space operad, Int. Math. Res. Not. 3 (1995) 141-153]. In particular, we introduce and show that Hom-Loday algebra cohomologies carry such structures when the Hom-structure twist is an idempotent.

KW - Gerstenhaber algebras

KW - Hochschild cohomology

KW - Hom-Loday algebras

KW - Operad

UR - https://www.scopus.com/pages/publications/85030319175

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DO - 10.1142/S0219498818501748

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VL - 17

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

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M1 - 18501748

ER -

Operad with a prescribed element

Abstract

Keywords

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