Three kinds of mutation

Details Three kinds of mutation Three kinds of mutation

2010-05-03

arxiv.org/abs/1005.0276v1

Mathematics

Representation Theory

19 pages

Scientific paper

For a finite dimensional hereditary algebra, we consider: exceptional sequences in the category of finite dimensional modules, silting objects in the bounded derived category, and m-cluster tilting objects in the m-cluster category. There are mutation operations on both the set of m-cluster tilting objects and the set of exceptional sequences. It is also possible to define a mutation operation for silting objects. We compare these three different notions of mutation.

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