Structures of W(2.2) Lie conformal algebra

Lamei Yuan; Henan Wu

doi:10.1515/math-2016-0054

Structures of W(2.2) Lie conformal algebra

Lamei Yuan
, Henan Wu^*

^*Corresponding author for this work

School of Mathematics

Shanxi University

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

9 Scopus citations

Abstract

The purpose of this paper is to study W.2; 2/Lie conformal algebra, which has a free C.-basis fL;Mg such that [Lλ=(+2λ), .[LλM]M.[MλM]=. In this paper, we study conformal derivations, central extensions and conformal modules for this Lie conformal algebra. Also, we compute the cohomology of this Lie conformal algebra with coefficients in its modules. In particular, we determine its cohomology with trivial coefficients both for the basic and reduced complexes.

Original language	English
Pages (from-to)	629-640
Number of pages	12
Journal	Central European Journal of Mathematics
Volume	14
Issue number	1
DOIs	https://doi.org/10.1515/math-2016-0054
State	Published - 1 Sep 2016

Keywords

Central extension
Cohomology
Conformal derivation
Conformal module

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abstract = "The purpose of this paper is to study W.2; 2/Lie conformal algebra, which has a free C.-basis fL;Mg such that [Lλ=(+2λ), .[LλM]M.[MλM]=. In this paper, we study conformal derivations, central extensions and conformal modules for this Lie conformal algebra. Also, we compute the cohomology of this Lie conformal algebra with coefficients in its modules. In particular, we determine its cohomology with trivial coefficients both for the basic and reduced complexes.",

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AB - The purpose of this paper is to study W.2; 2/Lie conformal algebra, which has a free C.-basis fL;Mg such that [Lλ=(+2λ), .[LλM]M.[MλM]=. In this paper, we study conformal derivations, central extensions and conformal modules for this Lie conformal algebra. Also, we compute the cohomology of this Lie conformal algebra with coefficients in its modules. In particular, we determine its cohomology with trivial coefficients both for the basic and reduced complexes.

KW - Central extension

KW - Cohomology

KW - Conformal derivation

KW - Conformal module

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DO - 10.1515/math-2016-0054

M3 - 文章

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SP - 629

EP - 640

JO - Central European Journal of Mathematics

JF - Central European Journal of Mathematics

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ER -

Structures of W(2.2) Lie conformal algebra

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Keywords

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