On the Hochschild Cohomology and Homology of Endomorphism Algebras of Exceptional Sequences over Hereditary Algebras

摘要

In this paper,let A be a finite dimensional associative algebra over an algebraically closed field k,modA be the category of finite dimensional left A-module and X_1,X_2,...,X_n in modA be a complete exceptional sequence,and let E be the endomorphism algebra of X_1,X_2,...,X_n.We study the global dimension of E,and calculate the Hochschild cohomology and homology groups of E.