Irreducible representations of Leavitt path algebras

Details Irreducible representations of Leavitt path algebras Irreducible representations of Leavitt path algebras

2011-08-18

arxiv.org/abs/1108.3726v2

Mathematics

Representation Theory

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Scientific paper

We construct some irreducible representations of the Leavitt path algebra of an arbitrary quiver. The constructed representations are associated to certain algebraic branching systems. For a row-finite quiver, we classify algebraic branching systems, to which irreducible representations of the Leavitt path algebra are associated. For a certain quiver, we obtain a faithful completely reducible representation of the Leavitt path algebra. The twisted representations of the constructed ones under the scaling action are studied.

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