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Realizations of Frobenius Functions

✍ Scribed by István Ágoston; Erzsébet Lukács; Claus Michael Ringel

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
179 KB
Volume
210
Category
Article
ISSN
0021-8693

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✦ Synopsis

In an earlier paper Agoston et al., CMS Conf. Proc. 18 1996 , 17᎐37 we studied the so-called Frobenius functions on certain translation quivers. Here we show that the classification given there is in some sense complete: every Frobenius length Ž . Ž . function on the wing W n and the tube T n is equivalent to the length function on a convex subquiver of the Auslander᎐Reiten quiver of the module category over some algebra A. ᮊ 1998 Academic Press 0 1 and let f : ⌫ ª ‫ޚ‬ be an integral valued function defined on the vertices of 0 ⌫. For any z g ⌫ a nonprojective vertex, we define the defect of the 0

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