A Construction of Characteristic Tilting Modules |
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Authors: | Bang Ming Deng |
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Affiliation: | (1) Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China E-mail: dengbm@bnu.edu.cn, CN |
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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. Received November 15, 2000, Accepted March 5, 2001 |
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Keywords: | Quasi-hereditary algebra Characteristic tilting module Ringel dual |
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