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Within the class of finite dimensional mesh algebras, also called m-fold meshalgebras, we identify those which are symmetric and those whose stable modulecategory is weakly Calabi-Yau. We also give, in combinatorial terms, explicitformulas for the period of any such algebra, and for the Calabi-Yau Frobeniusand stable Calabi-Yau dimensions, when they are defined.

The symmetry, period and Calabi-Yau dimension of finite dimensional mesh algebras