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1-Cocycles of the Witt algebra with coefficients in tensor product of modules

主 講 人 :裴玉峰    教授

活動時間:07月10日15時30分    

地      點 :理科群1号樓D203室

講座内容:

In this talk, we classify 1-cocycles of the Witt algebra with coefficients in the tensor product of two arbitrary tensor density modules.

In a special case, we recover a theorem originally established by Ng and Taft. Furthermore, by these 1-cocycles, we determine Lie bialgebra structures over certain infinite-dimensional Lie algebras containing the Witt algebra. This is a joint work with Shoulan Gao and Dong Liu.


主講人介紹:

裴玉峰,湖州師範學(xué)院教授,博士生導師。從事(shì)李代數和表示論的研究工作,主持國(guó)家自然科學(xué)基金面(miàn)上項目、青年基金項目及其國(guó)家自然科學(xué)基金數學(xué)天元(青年基金)專項項目各1項,上海市自然科學(xué)基金項目2項。近年來在《Science China Mathematics》、《Journal of the Institute of Mathematics of Jussieu》、《Communications in Contemporary Mathematics》、《Journal of Algebra》等國(guó)際知名數學(xué)雜志上發(fā)表SCI收錄文章40餘篇,主編出版本科生基礎課教材《高等代數與解析幾何(上、下)》一部。