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- Title
The Injective Leavitt Complex.
- Authors
Li, Huanhuan
- Abstract
For a finite quiver Q without sinks, we consider the corresponding finite dimensional algebra A with radical square zero. We construct an explicit compact generator for the homotopy category of acyclic complexes of injective A-modules. We call such a generator the injective Leavitt complex of Q. This terminology is justified by the following result: the differential graded endomorphism algebra of the injective Leavitt complex of Q is quasi-isomorphic to the Leavitt path algebra of Q. Here, the Leavitt path algebra is naturally ℤ<inline-graphic></inline-graphic>-graded and viewed as a differential graded algebra with trivial differential.
- Publication
Algebras & Representation Theory, 2018, Vol 21, Issue 4, p833
- ISSN
1386-923X
- Publication type
Article
- DOI
10.1007/s10468-017-9741-9