The infinite-dimensional algebras on two-dimensional torus are developed.In particular the diffeomorphism algebra and the Beltrami algebra on torus with their central extensions have been presented.It is shown that th...The infinite-dimensional algebras on two-dimensional torus are developed.In particular the diffeomorphism algebra and the Beltrami algebra on torus with their central extensions have been presented.It is shown that these algebras are corresponding to the diffeomorphism and the quasiconformal transformation of torus,respectively.展开更多
基金Contribution to the Beijing Workshop on String Theories,July 6-Sept.51987,Beijing,China.
文摘The infinite-dimensional algebras on two-dimensional torus are developed.In particular the diffeomorphism algebra and the Beltrami algebra on torus with their central extensions have been presented.It is shown that these algebras are corresponding to the diffeomorphism and the quasiconformal transformation of torus,respectively.