# Literature **URL:** \ **Category:** Static\ **Created:** [22 April 2021 15:44 UTC](https://fdlist.math.uni-bielefeld.de/t/literature/22 "2021-04-22T15:44:56Z")\ **Posts on this page:** 1\ **Page:** 1
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This page contains a list of books on representation theory of finite-dimensional algebras and a selection of related topics. This page is under construction. If you have any suggestions, feel free to email [Rosanna Laking](http://profs.scienze.univr.it/laking/) or [Julian Külshammer](https://katalog.uu.se/profile/?id=N18-1115). **Introductory textbooks** This is a selection of introductory textbooks focused on representation theory of finite-dimensional algebras and quivers. - Assem, Coelho: _Basic representation theory of algebras_, 2020. ([MR4180681](https://mathscinet-ams-org.ez67.periodicos.capes.gov.br/mathscinet/search/publdoc.html?pg1=INDI&s1=291313&sort=Newest&vfpref=html&r=1&mx-pid=4180681), [Zbl 1451.16001](https://zbmath.org/?q=an%3A1451.16001)) - Assem, Simson, Skowroński: _Elements of the representation theory of associative algebras, Vol. 1_, 2006. ([MR2197389](https://mathscinet.ams.org/mathscinet-getitem?mr=MR2197389), [Zbl 1092.16001](https://zbmath.org/?q=an%3A1092.16001)) - Auslander, Reiten, Smalø: _Representation theory of Artin algebras_, 1995. ([MR147667](https://mathscinet.ams.org/mathscinet-getitem?mr=MR1476671), [Zbl 0834.16001](https://zbmath.org/?q=an%3A0834.16001)) - Barot: _Introduction to the representation theory of algebras_, 2015. ([MR3309698](https://mathscinet.ams.org/mathscinet-getitem?mr=MR3309698), [Zbl 1330.16001](https://zbmath.org/?q=an%3A1330.16001)) - Derksen, Weyman: _An introduction to quiver representations_, 2017. ([MR3727119](https://mathscinet.ams.org/mathscinet-getitem?mr=MR3727119), [Zbl 1426.16001](https://zbmath.org/?q=an%3A1426.16001)) - Drozd, Kirichenko: _Finite dimensional algebras_, 1994. ([MR1284468](https://mathscinet.ams.org/mathscinet-getitem?mr=MR1284468), [Zbl 0816.16001](https://zbmath.org/?q=an%3A0816.16001)) - Erdmann, Holm: _Algebras and representation theory_, 2018. ([MR3837168](https://mathscinet.ams.org/mathscinet-getitem?mr=MR3837168), [Zbl 1429.16001](https://zbmath.org/?q=an%3A1429.16001)) - Gabriel, Roiter: _Representations of finite dimensional algebras_, 1992. ([MR1475926](https://mathscinet.ams.org/mathscinet-getitem?mr=MR1475926)) - Krause: _Homological theory of representations_, 2021. (MR4327095, [Zbl 07407039](https://zbmath.org/?q=an%3A7407039)) - Schiffler: _Quiver representations_, 2014. ([MR3308668](https://mathscinet.ams.org/mathscinet-getitem?mr=MR3308668), [Zbl 1310.16015](https://zbmath.org/?q=an%3A1310.16015)) **More general textbooks** This section contains textbooks which consider representations of finite-dimensional algebras but have a slightly different focus. - Benson: _Representations and cohomology I & II_, 1998. ([MR1644252](https://mathscinet.ams.org/mathscinet-getitem?mr=MR1644252), [Zbl 0908.20001](https://zbmath.org/?q=an%3A0908.20001)) - Deng, Du, Parshall, Wang: _Finite dimensional algebras and quantum groups_, 2008. ([MR2457938](https://mathscinet.ams.org/mathscinet-getitem?mr=MR2457938), [Zbl 1154.17003](https://zbmath.org/?q=an%3A1154.17003)) - Etingof et al: _Introduction to representation theory_, 2011. ([pdf](https://math.mit.edu/~etingof/repb.pdf), [MR2808160](https://mathscinet.ams.org/mathscinet-getitem?mr=MR2808160), [Zbl 1242.20001](https://zbmath.org/?q=an%3A1242.20001)) - Pierce: _Associative algebras_, 1982. ([MR0674652](https://mathscinet.ams.org/mathscinet-getitem?mr=MR0674652), [0497.16001](https://zbmath.org/?q=an%3A0497.16001)) - Zimmermann: _Representation theory – A homological algebra point of view_, 2014 ([MR3289041](https://mathscinet.ams.org/mathscinet/article?mr=3289041), [1306.20001](https://zbmath.org/1306.20001)) **Lecture notes and other resources** The following lecture notes provide a useful introduction to various aspects of the representation theory of finite-dimensional algebras. - [An introduction to Auslander–Reiten theory](https://webusers.imj-prg.fr/~bernhard.keller/ictp2006/lecturenotes/angeleri.pdf) by [Lidia Angeleri Hügel](http://profs.sci.univr.it/~angeleri/) - [Lectures on representations of quivers](https://www.math.uni-bielefeld.de/~wcrawley/quivlecs.pdf) by [Bill Crawley-Boevey](https://www.math.uni-bielefeld.de/~wcrawley/) - [More lectures on representations of quivers](https://www.math.uni-bielefeld.de/~wcrawley/morequivlecs.pdf) by [Bill Crawley-Boevey](https://www.math.uni-bielefeld.de/~wcrawley/) - [FD-Atlas](http://www.math.uni-bonn.de/people/schroer/FD-Atlas.html) by [Jan Schröer](http://www.math.uni-bonn.de/people/schroer/) **Software** The following is a list of software that is available for making calculations related to finite-dimensional algebras. - [Quivers and Path Algebras (QPA)](https://folk.ntnu.no/oyvinso/QPA/) administered by the QPA-team - [Quiver mutations](https://webusers.imj-prg.fr/~bernhard.keller/quivermutation/) created by [Bernhard Keller](https://webusers.imj-prg.fr/~bernhard.keller/indexe.html) - [String applet](https://www.math.uni-bielefeld.de/~jgeuenich/string-applet/) created by [Jan Geuenich](https://www.math.uni-bielefeld.de/~jgeuenich/)