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math.RA2013★ 14 cited
Tubular Jacobian Algebras
Christof Geiss, Raúl González-Silva
We show that the endomorphism ring of each cluster tilting object in a tubular cluster category is a finite dimensional Jacobian algebra which is tame of polynomial growth. Moreove…
math.RA2011
Factorial cluster algebras
Christof Geiß, Bernard Leclerc, Jan Schröer
We show that cluster algebras do not contain non-trivial units and that all cluster variables are irreducible elements. Both statements follow from Fomin and Zelevinsky's Laurent p…