Abstract
Associated with each finite directed quiver Q is a quasi-hereditary algebra, the so-called twisted double of the path algebra kQ. Characteristic tilting modules over this class of quasi-hereditary algebras are constructed. Their endomorphism algebras are explicitly described. It turns out that this class of quasi-hereditary algebras is closed under taking the Ringel dual.
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Supported partially by Alexander von Humboldt Foundation and the National Natural Science Foundation of China (Grant No. 19971009).
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Deng, B.M. A Construction of Characteristic Tilting Modules. Acta Math Sinica 18, 129–136 (2002). https://doi.org/10.1007/s101140100145
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DOI: https://doi.org/10.1007/s101140100145