Irreducible representations of Leavitt path algebras
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AbstractWe 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.
2019 ◽
Vol 19
(09)
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pp. 2050165
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2019 ◽
Vol 18
(04)
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pp. 1950062
2012 ◽
Vol 11
(03)
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pp. 1250044
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2017 ◽
Vol 96
(2)
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pp. 212-222
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2017 ◽
Vol 16
(05)
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pp. 1750090
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