Title

(+)-Admissible sequences and the preprojective component

Date of Award

8-2002

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

Advisor(s)

Mark Kleiner

Keywords

Preprojective component, Admissible sequences, Finite-dimensional algebras, Quiver

Subject Categories

Mathematics

Abstract

For a finite quiver without oriented cycles, we study the set of (+)-admissible sequences as introduced in [BGP]. We show how the nonisomorphic indecomposable preprojective modules can be characterized in terms of (+)-admissible sequences and establish a connection with the classical characterization presented, for example, in [ARS].

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