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Title: On certain strongly quasihereditary algebras
Author: Gomes Cipriano Nabais Conde, Teresa
ISNI:       0000 0004 6421 4032
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2016
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Given a finite-dimensional algebra A we may associate to it a special endomorphism algebra, RA, introduced by Auslander. The algebra RA is a "Schur-like" algebra for A: it contains A as an idempotent subalgebra (up to Morita equivalence) and it is quasihereditary with respect to a particular heredity chain. The main purpose of this thesis is to describe the quasihereditary structure of RA which arises from such heredity chain, and to investigate the corresponding Ringel dual of RA. It turns out that RA belongs to a certain class of strongly quasihereditary algebras defined axiomatically, which we call ultra strongly quasihereditary algebras. We derive the key properties of ultra strongly quasihereditary algebras, and give examples of other algebras which fit into this setting.
Supervisor: Erdmann, Karin Sponsor: Fundação para a Ciência e a Tecnologia
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available