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 or Julian Külshammer.

**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, Zbl 1451.16001) - Assem, Simson, Skowroński:
*Elements of the representation theory of associative algebras, Vol. 1*, 2006. (MR2197389, Zbl 1092.16001) - Auslander, Reiten, Smalø:
*Representation theory of Artin algebras*, 1995. (MR147667, Zbl 0834.16001) - Barot:
*Introduction to the representation theory of algebras*, 2015. (MR3309698, Zbl 1330.16001) - Derksen, Weyman:
*An introduction to quiver representations*, 2017. (MR3727119, Zbl 1426.16001) - Drozd, Kirichenko:
*Finite dimensional algebras*, 1994. (MR1284468, Zbl 0816.16001) - Erdmann, Holm:
*Algebras and representation theory*, 2018. (MR3837168, Zbl 1429.16001) - Gabriel, Roiter:
*Representations of finite dimensional algebras*, 1992. (MR1475926) - Krause:
*Homological theory of representations*, 2021. (MR4327095, Zbl 07407039) - Schiffler:
*Quiver representations*, 2014. (MR3308668, Zbl 1310.16015)

**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, Zbl 0908.20001) - Deng, Du, Parshall, Wang:
*Finite dimensional algebras and quantum groups*, 2008. (MR2457938, Zbl 1154.17003) - Etingof et al:
*Introduction to representation theory*, 2011. (pdf, MR2808160, Zbl 1242.20001) - Pierce:
*Associative algebras*, 1982. (MR0674652, 0497.16001)

**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 by Lidia Angeleri Hügel
- Lectures on Representations of Quivers by Bill Crawley-Boevey
- More Lectures on Representations of Quivers by Bill Crawley-Boevey
- FD-Atlas by Jan Schröer

**Software**

The following is a list of software that is available for making calculations related to finite-dimensional algebras.

- Quivers and Path Algebras (QPA) administered by the QPA-team
- Quiver mutations created by Bernhard Keller
- String applet created by Jan Geuenich