一类Block型李共形代数

摘要

In this paper, we introduce the Lie conformal algebra, denoted by CL , with C[∂] -basis{Lα | α∈ Z} and λ-brackets [ LαλLβ] = ( (α + 1)∂ + (α + β + 2)λ) Lα+β and then determine conformal derivations and central extensions of CL . Finally, we obtain that all rank one conformal modules of CL are trivial.%主要研究了一类Block型李共形代数CL ，它是由C[∂]－基｛Lα｜α∈Z｝生成的，其λ－括积为[ LαλLβ]＝（（α＋1）∂＋（α＋β＋2）λ） Lα＋β，进一步地计算了它的共形导子和中心扩张。最后得到它的秩为1的共形模是平凡的。