On the Growth of the Coxeter Transformations of Derived-Hereditary Algebras

Let A be an algebra derived equivalent to a herditary algebra of wild type and let ρ(ϕ A ) be the spectral radius of the Coxeter transformation ϕ A of A. Assume that A = B(M ) is a one-point extension of an algebra B by an indecomposable module M. We find conditions for ρ(ϕ B ) ≤ ρ(ϕ A ). Mathematics Subject Classification: 16G60, 18E30, 16E20

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