The geometry of uniserial representations
of finite dimensional algebras.
III: Finite uniserial type
Author: Birge Huisgen-Zimmermann
Journal: Trans. Amer. Math. Soc. 348 (1996), 4775-4812
MSC (1991): Primary 16G10, 16G20, 16G60, 16P10
MathSciNet review: 1344208
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Abstract: A description is given of those sequences of simple modules over a finite dimensional algebra for which there are only finitely many uniserial modules with consecutive composition factors . Necessary and sufficient conditions for an algebra to permit only a finite number of isomorphism types of uniserial modules are derived. The main tools in this investigation are the affine algebraic varieties parametrizing the uniserial modules with composition series .
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
Received by editor(s): November 14, 1994
Additional Notes: This research was partially supported by a National Science Foundation grant.
Article copyright: © Copyright 1996 American Mathematical Society