Lie bialgebras real Cohomology
نویسنده
چکیده
Let g be a finite dimensional real Lie bialgebra. We introduce an R -valued cohomology of g for which the space of all inequivalent Lie bialgebra central extensions of g by R is isomorphic to that second cohomology group of g . Furthermore, we study the natural projection of this group on the R -valued Lie algebra second cohomology group of g .
منابع مشابه
Lie Bialgebras of Generalized Witt Type 10471091 of China, Two Grants " Excellent Young Teacher Program " and " Trans-century Training Programme Foundation for the Talents " from Ministry of Education of China
Guang’ai Song and Yucai Su Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China E-mail: [email protected], [email protected] Abstract. In a paper by Michaelis a class of infinite-dimensional Lie bialgebras containing the Virasoro algebra was presented. This type of Lie bialgebras was classified by Ng and Taft. In this paper, all Lie bialgebra structures on the Lie a...
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