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

Within the class of finite dimensional mesh algebras, we identify those which are symmetric and those whose stable module category is Calabi-Yau. We also give, in combinatorial terms, explicit formulas for the ohm-period of any such algebra, where ohm is the syzygy functor, and for the Calabi-Yau Frobenius and the stable Calabi-Yau dimensions, when they are defined. (C) 2015 Elsevier Inc. All rights reserved.