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Let A be a finite dimensional algebra over an algebraically closed field k. Assume A is basic connected with n pairwise non-isomorphic simplemodules. We consider the Coxeter transformation ?A as the automorphism of the Grothendieck group K0(A) induced by the Auslander-Reiten translation ? in the derived category Der(modA) of the module category modA of finite dimensional left A-modules. We say that A is an algebra of cyclotomic type if the characteristic polynomial ?A of ?A is a product ofarXiv:1310.1557v1 fatcat:nogzxj77dvcefeo2aupwa3ggwi