Leavitt path algebras with finitely presented irreducible representations.

DOI10.1016/j.jalgebra.2015.10.005zbMath1333.16010arXiv1501.01781OpenAlexW2963813520MaRDI QIDQ897785

Kulumani M. Rangaswamy

Publication date: 7 December 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01781

zbMATH Keywords

simple modulesirreducible representationsGelfand-Kirillov dimensionprimitive idealsLeavitt path algebrasfinitely presented modulesarbitrary graphs

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Leavitt path algebras (16S88)

Related Items

Simple modules for Kumjian-Pask algebras ⋮ On ultragraph Leavitt path algebras with finite Gelfand-Kirillov dimension ⋮ On graded irreducible representations of Leavitt path algebras. ⋮ Modules for Leavitt path algebras via extended algebraic branching systems ⋮ A Survey of Some of the Recent Developments in Leavitt Path Algebras ⋮ Graded Steinberg algebras and their representations ⋮ Representations and the reduction theorem for ultragraph Leavitt path algebras ⋮ Recollements, sinks elimination and Leavitt path algebras ⋮ Graphs with disjoint cycles classification via the talented monoid ⋮ Irreducible representations of Leavitt algebras

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