Parabolic decomposition for properly stratified algebras
In the paper under review, the authors study generalizations of results of \textit{S. König} [Math. Z. 220, 399-426 (1995; Zbl 0841.16013)] on exact Borel subalgebras in quasihereditary algebras. Here, they use basically the same machinery for the a properly stratified algebras. Recall that an algebra \(A\) is properly stratified algebra provided there exists an order in a set of primitive idempotents \(e_1, \cdots, e_n\) such that for each \(l\), the idempotent \(e_l\) generates a projective \(A\)-bimodule ideal in the quotient algebra \(A/<e_{l+1}, \cdots,e_n>\).
scientific article; zbMATH DE number 1787438
scientific article