Preprojective components of wild tilted algebras |
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Authors: | Otto Kerner |
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Institution: | (1) Mathematisches Institut der Universität Düsseldorf, Universitätsstraße 1, 4000 Düsseldorf 1 |
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Abstract: | If A is a finite dimensional, connected, hereditary wild k-algebra, k algebraically closed and T a tilting module without preinjective direct summands, then the preprojective componentP of the tilted algebra B=EndA (T) is the preprojective component of a concealed wild factoralgebra C of B. Our first result is, that the growth number (C) of C is always bigger or equal to the growth number (A). Moreover the growth number (C) can be arbitrarily large; more precise: if A has at least 3 simple modules and N is any positive integer, then there exists a natural number n>N such that C is the Kronecker-algebraK
n, that is the path-algebra of the quiver (n arrows). |
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