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arXiv · 1710.06674

On quasi-hereditary algebras

Edward L. Green·Sibylle Schroll
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Abstract

Establishing whether an algebra is quasi-hereditary or not is, in general, a difficult problem. In this paper we introduce a sufficient criterion to determine whether a general finite dimensional algebra is quasi-hereditary by showing that the question can be reduced to showing that a closely associated monomial algebra is quasi-hereditary. For monomial algebras, we give an explicit, easily verifiable, necessary and sufficient criterion to determine whether it is quasi-hereditary.

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Edward L. Green, Sibylle Schroll. 2017-10-18. On quasi-hereditary algebras. https://arxiv.org/abs/1710.06674

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