Abstract
A bound quiver algebra is the quotient of a path algebra kQ by an ideal I which is required to satisfy a certain admissibility condition. Bound quiver algebras play a central role in representation theory, since, for any finite-dimensional algebra A over an algebraically closed field k, the category mod A is equivalent to the category mod kQ∕I, for some bound quiver algebra kQ∕I.
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References
Ibrahim Assem, Daniel Simson, and Andrzej Skowroński, Elements of the representation theory of associative algebras. Vol. 1, London Mathematical Society Student Texts, vol. 65, Cambridge University Press, Cambridge, 2006, Techniques of representation theory. MR 2197389 (2006j:16020)
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Schiffler, R. (2014). Bound Quiver Algebras. In: Quiver Representations. CMS Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-09204-1_5
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DOI: https://doi.org/10.1007/978-3-319-09204-1_5
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