# Structures ofW(2.2) Lie conformal algebra

Open Mathematics (2016)

- Volume: 14, Issue: 1, page 629-640
- ISSN: 2391-5455

## Access Full Article

top## Abstract

top## How to cite

topLamei Yuan, and Henan Wu. "Structures ofW(2.2) Lie conformal algebra." Open Mathematics 14.1 (2016): 629-640. <http://eudml.org/doc/286777>.

@article{LameiYuan2016,

abstract = {The purpose of this paper is to study W(2, 2) Lie conformal algebra, which has a free ℂ[∂]-basis L, M such that [...] [LλL]=(∂+2λ)L,[LλM]=(∂+2λ)M,[MλM]=0 \begin\{equation\}[\{L\_\lambda \}L] = (\partial + 2\lambda )L,[\{L\_\lambda \}M] = (\partial + 2\lambda )M,[\{M\_\lambda \}M] = 0]\end\{equation\} . 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.},

author = {Lamei Yuan, Henan Wu},

journal = {Open Mathematics},

keywords = {Conformal derivation; Central extension; Conformal module; Cohomology; conformal derivation; central extension; conformal module; cohomology},

language = {eng},

number = {1},

pages = {629-640},

title = {Structures ofW(2.2) Lie conformal algebra},

url = {http://eudml.org/doc/286777},

volume = {14},

year = {2016},

}

TY - JOUR

AU - Lamei Yuan

AU - Henan Wu

TI - Structures ofW(2.2) Lie conformal algebra

JO - Open Mathematics

PY - 2016

VL - 14

IS - 1

SP - 629

EP - 640

AB - The purpose of this paper is to study W(2, 2) Lie conformal algebra, which has a free ℂ[∂]-basis L, M such that [...] [LλL]=(∂+2λ)L,[LλM]=(∂+2λ)M,[MλM]=0 \begin{equation}[{L_\lambda }L] = (\partial + 2\lambda )L,[{L_\lambda }M] = (\partial + 2\lambda )M,[{M_\lambda }M] = 0]\end{equation} . 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.

LA - eng

KW - Conformal derivation; Central extension; Conformal module; Cohomology; conformal derivation; central extension; conformal module; cohomology

UR - http://eudml.org/doc/286777

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.