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