Semisimple representations of quivers

Le Bruyn, Lieven; Procesi, Claudio

doi:10.1090/S0002-9947-1990-0958897-0

Semisimple representations of quivers
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by Lieven Le Bruyn and Claudio Procesi

Trans. Amer. Math. Soc. 317 (1990), 585-598

DOI: https://doi.org/10.1090/S0002-9947-1990-0958897-0

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Abstract:

We discuss the invariant theory of the variety of representations of a quiver and present generators and relations. We connect this theory of algebras with a trace satisfying a formal Cayley-Hamilton identity

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Generic representations of quivers

Lifting smooth homotopies of orbit spaces