Tilting Modules and Support τ-Tilting Modules over Preprojective Algebras Associated with Symmetrizable Cartan Matrices
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DOI: 10.1007/s10468-018-9819-z
Abstract: For any given symmetrizable Cartan matrix C with a symmetrizer D, Geiß et al. (2016) introduced a generalized preprojective algebra Π(C, D). We study tilting modules and support τ-tilting modules for the generalized preprojective algebra… read more here.
Keywords: preprojective algebras; support tilting; symmetrizable cartan; tilting modules ... See more keywords
Support τ-tilting modules and separating splitting tilting triples
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DOI: 10.1080/00927872.2021.1942482
Abstract: Abstract Adachi et al. have introduced support τ-tilting pairs from the viewpoint of mutation. Let (A, T, B) be a tilting triple. In this article, it is proved that there is a bijection between the… read more here.
Keywords: support tilting; bijection; tilting pairs; splitting tilting ... See more keywords