Abstract
A criterion is given to show that a k-algebra A is quasi-hereditary if it can be defined over an integral domain R, and if there is a certain commutative semisimple subalgebra satisfying a technical but easily verified condition (which roughly states that over the field of fractions K of R, the formal characters of the semisimple K-algebra generated by the R-algebra defining A satisfy an ordering condition). This applies in particular to Schur algebras (where various proofs of quasi-hereditary are known, by de Concini, Eisenbud and Procesi, by Donkin, by Parshall, and by J.A. Green), generalized Schur algebras (covering a result of Donkin), q-Schur algebras (Dipper and James, Parshall and Wang), and Temperley-Lieb algebras (Westbury).
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