Optimal filtrations on representations of finite dimensional algebras

Le Bruyn, Lieven

doi:10.1090/S0002-9947-00-02590-3

Optimal filtrations on representations of finite dimensional algebras
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by Lieven Le Bruyn

Trans. Amer. Math. Soc. 353 (2001), 411-426

DOI: https://doi.org/10.1090/S0002-9947-00-02590-3

Published electronically: September 13, 2000

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Abstract:

We present a representation theoretic description of the non-empty strata in the Hesselink stratification of the nullcone of representations of quivers. We use this stratification to define optimal filtrations on representations of finite dimensional algebras. As an application we investigate the isomorphism problem for uniserial representations.

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