The Representation Dimension of a Selfinjective Algebra of Wild Tilted Type
arXiv:1607.00305
Abstract
We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjective algebra admits an acyclic generalised standard Auslander-Reiten component then its representation dimension is equal to three.
arXiv admin note: text overlap with arXiv:1510.06443