Irreducible representations of Leavitt path algebras
By Xiao-Wu Chen. 2011
75 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/423b88e8644b5c4c17e961997b8f4c0b98cef753
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In Algebra and Number Theory
- Roozbeh Hazrat
- P. Ara
- Huanhuan Li
- Aidan Sims
- Kulumani M. Rangaswamy
- G. Abrams
- Alexei Stepanov
- Trent Yeend
In Geometry and Topology
- P. Ara
- Roozbeh Hazrat
- Huanhuan Li
- Aidan Sims
- Kulumani M. Rangaswamy
- Alexei Stepanov
- Nikolai Vavilov
- A. Bak
In Mathematical Physics
- Roozbeh Hazrat
- P. Ara
- Huanhuan Li
- Aidan Sims
- Kulumani M. Rangaswamy
- G. Abrams
- Trent Yeend
- M. Tomforde
Citations in the corpus
- Graded Steinberg algebras and their representations (2017, methodology): “In [16], Chen used infinite paths in a graph E to construct an irreducible representation of the Leavitt path algebra E.”
- Finitely presented simple modules over Leavitt path algebras (2013, methodology): “In particular we advise the reader that the notation herewith will be the same as in [2] but will differ substantially from the one used by Chen in [16].”