Abstract
A quiver is a finite directed graph. The associated path algebra has all paths of the quiver as a basis, and the multiplication is defined in terms of concatenating paths when possible. We have seen representations of a quiver earlier, and we also have seen how to relate representations of a quiver to modules for its path algebra. In this chapter we develop the theory further and study representations of quivers in detail. In particular we show how to exploit properties which come from the graph structure of the quiver.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsAuthor information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Erdmann, K., Holm, T. (2018). Representations of Quivers. In: Algebras and Representation Theory. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-91998-0_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-91998-0_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-91997-3
Online ISBN: 978-3-319-91998-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)