On cohomology of the Lie superalgebra D(2, 1; α)

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Poletaeva, Elena

关键词: Poisson superalgebra;    Embedding;    Deformation;   

DOI  :  10.1016/j.geomphys.2010.06.015

来源: Elsevier

【 摘 要 】

We describe the infinitesimal deformations of the standard embedding of the Lie superalgebra D(2, 1; alpha) into the Poisson superalgebra of pseudodifferential symbols on S-1 vertical bar 2. We show that for the standard embedding of D(2, 1; alpha) into the Poisson superalgebra of differential operators on S-1 vertical bar 2, the infinitesimal deformations correspond to formal deformations. For the embedding of D(2, 1; alpha) into the derived contact superconformal algebra K'(4). the infinitesimal deformations are formal deformations. (c) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free