Structures ofW(2.2) Lie conformal algebra

Lamei 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 -