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Tits form numbers
Authors:Kiyoshi Igusa  Gordana Todorov
Institution:1. Mathematics Department , Brandeis University , Waltham, Mass, 02154;2. Mathematics Department , Northeastern University , Boston, Mass, 02115
Abstract:We define the relative Tits form number W(G, V) of a valued bigraph G at a vertex v and derive some basic properties. We give a detailed analysis of the case when W (G,V) ≥½. The properties of these numbers were used without proof in the classification of Auslander algebras of finite representation type IPTZ]
Keywords:Bigraph  quadratic form  roots
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