The Cohomology Group Of A Schr Dinger-virasoro Lie Algebra

Based on the definition of Lie algebra，this thesis gave an introductionof Schr dinger Lie bialgebra structure, which found that the Lie bialgebrastructure of Schr dinger Lie algebra is upper triangular. Then this studydrawn the important theorem of cohomology group of Schr dinger Liealgebra. During the process, the calculation method of classificationdiscussion and the thinking method of analogy were used. Besides, thisthesis had calculated and studied some key properties of Schr dinger Liealgebra which relates to cohomology group. Get the final conclusion inthis paper--Such schr dinger lie algebra the coefficient on the V is on thefirst order of homology group of five dimensions. The structure of thisarticle is divided into three parts: In the first part of the introduction,Roughly introduces the domestic and foreign relevant schr dinger liealgebra and cohomology group theory two aspects, the research statusand the related research background; This paper introduces thesignificance of the topic research and research characteristics in this paper,the selected topic; Finally briefly introduces the research methods andapplication in this paper by way of course. In the second part, lists theneed to use this to some of the basic definition,(such as Lie bialgebradefinition) and need to make a conclusion of the fundamental theorem; Inthe third part, the first is based on the study to analyze carefully therelation between the lie algebra, find out the key link, and calculated the required lemma in detail;secondly, integrated the lemma and propositionsin the article, proved in this article to discuss the schr dinger lie algebrathe coefficient on the V is on the first order of homology group of fivedimensions...