Silting mutation in triangulated categories

  title={Silting mutation in triangulated categories},
  author={Takuma Aihara and Osamu Iyama},
  journal={J. London Math. Society},
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 to take away this disadvantage by introducing ‘silting mutation’ for silting objects as a… CONTINUE READING

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