Homology and Cohomology of the Super Schr(o)dinger Algebra S(1/1) with Coefficients in the Trivial Module

• 来源期刊: 代数集刊（英文版）
• 关键词: super Schr(o)dinger algebra homology cohomology
• 年，卷（期）: 2019,（4）
• 页码范围: 615-628
• 页数: 14页
• 语种: 英文
• DOI: 10.1142/S1005386719000452

摘要

In this paper we study the homology and cohomology groups of the super Schr（o)dinger algebra S(1/1) in (1 + 1)-dimensional spacetime.We explicitly compute the homology groups of S(1/1) with coefficients in the trivial module.Then using duality,we finally obtain the dimensions of the cohomology groups of S(1/1) with coefficients in the trivial module.