ENDOMORPHISM ALGEBRAS OF PREPROJECTIVE PARTIAL TILTING MODULES

【摘要】 <正> Let be a connected finite quiver without oriented cycle, A=k（?） the corresponding path algebra with k being an algebraically closed field, A^T a preprojective tilting module. B=End_AT. Then B is called a tame （resp. wild）concealed algebra provided is an Euclidean （resp. wild ） graph. The following result is important in the representation theory of tame concealed algebras （see [1,4.9]）: if A is tame concealed, T= T₀⊕ T₁ a tilting module with T₀ nonzero preprojective and T₁ regular, then End_AT₀ is tame concealed. The main purpose of this note is to generalize it to the "wild" case. For this we generally consider the endomorphism algebra of preprojective partial tilting modules over a concealed algebra. For the notations the readers can refer to Ref.[1].更多还原