Quasi-hereditary covers of higher zigzag algebras of type A |
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| Authors: | Gabriele Bocca |
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| Affiliation: | 1. Department of Mathematics, The University of Iowa, Iowa City, IA 52242, United States of America;2. Department of Computer Studies and Mathematics, University of Dubuque, Dubuque, IA 52001, United States of America;1. Hong Kong University of Science and Technology, Hong Kong;2. University of Southern California, United States of America |
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| Abstract: | In this paper we define and study some quasi-hereditary covers for higher zigzag algebras of type A. We show how these algebras satisfy three different Koszul properties: they are Koszul in the classical sense, standard Koszul and Koszul with respect to the standard module Δ, according to the definition given in [24]. This last property gives rise to a well defined duality and we compute the Δ-Koszul dual as the path algebra of a quiver with relations. |
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| Keywords: | Quasi-hereditary covers Koszul algebras Higher zigzag algebras |
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