Well-filtered algebras

[摘要] We define a class of (lean) quasi-hereditary K-algebras A for which the standard filtration of the right regular representation may be described by a suitable directed quotient algebra A(+). For this class, projective resolutions of simple left modules over A(+) will correspond to the so-called EGG resolutions over A, defined earlier by Bernstein, Gelfand and Gelfand. In the case when K is algebraically closed and A(+) is a subalgebra of A, A(+) coincides with the concept of a Borel subalgebra of Konig. We show that many algebras obtained by previously defined canonical constructions belong to this class and have additional structural properties. (C) 1998 Elsevier Science B.V. All rights reserved.

[发布日期] 1998-12-15

[效力级别]  Proceedings Paper