Discreteness of silting objects and t-structures in triangulated categories

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In representation theory of algebras the notion of ‘mutation’ often plays important roles, and two cases are well known, i.e. ‘cluster tilting mutation’ and ‘exceptional mutation’. In this paper we focus on ‘tilting mutation’, which has a disadvantage that it is often impossible, i.e. some of summands of a tilting object can not be replaced to get a new tilting object. The aim of this paper is ...

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ژورنال

عنوان ژورنال: Proceedings of the London Mathematical Society

سال: 2018

ISSN: 0024-6115

DOI: 10.1112/plms.12176