Let A be a connected minimal representation-infinite algebra over an alge- braically closed field k. In this paper, we investigate the simple connectedness and strong simple connectedness of A. We prove that A is simp...Let A be a connected minimal representation-infinite algebra over an alge- braically closed field k. In this paper, we investigate the simple connectedness and strong simple connectedness of A. We prove that A is simply connected if and only if its first Hochschild cohomology group Hi （A） is trivial. We also give some equivalent conditions of strong simple connectedness of an algebra A.展开更多
基金Supported by the National Natural Science Foundation of China （grant No. 10371036 11271119） and the Natural Science foundation of Beijing （grant No. 1122002）.Acknowledgement. The authors would like to express their gratitude to the referee（s） for helpful comments and valuable suggestions.
文摘Let A be a connected minimal representation-infinite algebra over an alge- braically closed field k. In this paper, we investigate the simple connectedness and strong simple connectedness of A. We prove that A is simply connected if and only if its first Hochschild cohomology group Hi （A） is trivial. We also give some equivalent conditions of strong simple connectedness of an algebra A.
