On construction of some classes if quasi-hereditary algebras

Lakatos, Piroska (1998) On construction of some classes if quasi-hereditary algebras. COMMUNICATIONS IN ALGEBRA, 5. pp. 1567-1576. ISSN 0092-7872

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Abstract

Inspired by the work of Mirollo and Vilonen [MV] describing the categories of perverse sheaves as module categories over certain finite dimensional algebras, Dlab and Ringel introduced [DR2] an explicit recursive construction of these algebras in terms of the algebras A(gamma): In particular, they characterized the quasi-hereditary algebras of Cline-Parshall-Scott [PS] and constructed them in this way. The present paper provides a characterization of lean algebras and some other special classes of algebras in terms of this recursive process.

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