In my Diplomarbeit (DVI, 156 K, German), written 1992 under Prof. Helmut Lenzing at the University of Paderborn, I developed a reduction formula for the characteristic polynomial of the Coxeter transformation of a path algebra and translated it into a MAPLE program. The detailed description and explanation as well as the estimation of the complexity of the program is contained in the Diplomarbeit.
Later I extended the results of the Diplomarbeit to quivers with relations and wrote an article (Postscript, 480 K) which has been published in the Journal for Linear Algebra and its Applications 230, p.151-164.
In August 96, I finished writing a paper together with Martha Takane from UNAM, Mexico City, about Coxeterpolynomials of unicyclic quivers. It has since been accepted for publication in the Journal for Pure and Applied Algebra.
My Ph.D. thesis (Postscript, 202 K), written under the direction of Prof. Birge Huisgen Zimmermann at the Math Department of the University of California at Santa Barbara, deals with uniserial modules over finite dimensional algebras, especially their patterns in the Auslander-Reiten quiver. It also contains the work on Coxeter polynomials and was finished in May 1996.
