Hom-Gel’fand–Dorfman super-bialgebras and Hom-Lie conformal superalgebras

La Mei Yuan; Sheng Chen; Cai Xia He

doi:10.1007/s10114-016-6074-2

Hom-Gel’fand–Dorfman super-bialgebras and Hom-Lie conformal superalgebras

La Mei Yuan^*
, Sheng Chen
, Cai Xia He

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

4 Scopus citations

Abstract

The aim of this paper is to introduce and study Hom-Gel’fand–Dorfman super-bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing Hom-Gel’fand–Dorfman super-bialgebras. Also, we obtain some infinite-dimensional Hom-Lie superalgebras from affinization of Hom-Gel’fand–Dorfman super-bialgebras. Finally, we give a general construction of Hom-Lie conformal superalgebras from Hom-Lie superalgebras and establish the equivalence between quadratic Hom-Lie conformal superalgebras and Hom-Gel’fand–Dorfman super-bialgebras.

Original language	English
Pages (from-to)	96-116
Number of pages	21
Journal	Acta Mathematica Sinica, English Series
Volume	33
Issue number	1
DOIs	https://doi.org/10.1007/s10114-016-6074-2
State	Published - 1 Jan 2017

Keywords

Hom-Gel’fand–Dorfman super-bialgebra
Hom-Lie conformal superalgebra
Hom-Lie superalgebra
Lie conformal superalgebra

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10.1007/s10114-016-6074-2

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title = "Hom-Gel{\textquoteright}fand–Dorfman super-bialgebras and Hom-Lie conformal superalgebras",

abstract = "The aim of this paper is to introduce and study Hom-Gel{\textquoteright}fand–Dorfman super-bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing Hom-Gel{\textquoteright}fand–Dorfman super-bialgebras. Also, we obtain some infinite-dimensional Hom-Lie superalgebras from affinization of Hom-Gel{\textquoteright}fand–Dorfman super-bialgebras. Finally, we give a general construction of Hom-Lie conformal superalgebras from Hom-Lie superalgebras and establish the equivalence between quadratic Hom-Lie conformal superalgebras and Hom-Gel{\textquoteright}fand–Dorfman super-bialgebras.",

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doi = "10.1007/s10114-016-6074-2",

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AU - Yuan, La Mei

AU - Chen, Sheng

AU - He, Cai Xia

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Y1 - 2017/1/1

N2 - The aim of this paper is to introduce and study Hom-Gel’fand–Dorfman super-bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing Hom-Gel’fand–Dorfman super-bialgebras. Also, we obtain some infinite-dimensional Hom-Lie superalgebras from affinization of Hom-Gel’fand–Dorfman super-bialgebras. Finally, we give a general construction of Hom-Lie conformal superalgebras from Hom-Lie superalgebras and establish the equivalence between quadratic Hom-Lie conformal superalgebras and Hom-Gel’fand–Dorfman super-bialgebras.

AB - The aim of this paper is to introduce and study Hom-Gel’fand–Dorfman super-bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing Hom-Gel’fand–Dorfman super-bialgebras. Also, we obtain some infinite-dimensional Hom-Lie superalgebras from affinization of Hom-Gel’fand–Dorfman super-bialgebras. Finally, we give a general construction of Hom-Lie conformal superalgebras from Hom-Lie superalgebras and establish the equivalence between quadratic Hom-Lie conformal superalgebras and Hom-Gel’fand–Dorfman super-bialgebras.

KW - Hom-Gel’fand–Dorfman super-bialgebra

KW - Hom-Lie conformal superalgebra

KW - Hom-Lie superalgebra

KW - Lie conformal superalgebra

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M3 - 文章

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Hom-Gel’fand–Dorfman super-bialgebras and Hom-Lie conformal superalgebras

Abstract

Keywords

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