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Irreducible representations of Leavitt path algebras.
- Source :
-
Forum Mathematicum . Jan2015, Vol. 27 Issue 1, p549-574. 26p. - Publication Year :
- 2015
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09337741
- Volume :
- 27
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Forum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 100521771
- Full Text :
- https://doi.org/10.1515/forum-2012-0020