Structures ofW(2.2) Lie conformal algebra

• Autorzy: Lamei Yuan , Henan Wu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Conformal derivation; Central extension; Conformal module; Cohomology

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 629-640

Daty

wydano

2016-01-01

otrzymano

2016-05-05

zaakceptowano

2016-08-01

online

2016-09-15

Twórcy

autor

Lamei Yuan

• Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, Harbin 150080,,

autor

Henan Wu

• School of Mathematical Sciences, Shanxi University, Taiyuan, 030006,,

Identyfikatory

DOI

10.1515/math-2016-0054