CONTINUOUS QUIVERS OF TYPE <i>A</i> (III) EMBEDDINGS OF CLUSTER THEORIES
نویسندگان
چکیده
Abstract We continue the work started in parts (I) and (II) of this series. In paper, we classify which continuous quivers type A are derived equivalent. Next, define new ${\mathcal {C}(A_{{\mathbb {R}},S})}$ , call weak cluster category. It is a triangulated category, it does not have structure but has weaker notion “cluster theory.” show that original category [15] localization theories to be appropriate groupoids structures satisfy conditions for theories. describe relationship between different theories: some obtained from structures. The mutation appears (but structures) next paper [20].
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2022
ISSN: ['0027-7630', '2152-6842']
DOI: https://doi.org/10.1017/nmj.2021.16