The Representation Dimension of a Selfinjective Algebra of Euclidean Type
Ibrahim Assem, Andrzej Skowro\'nski, Sonia Trepode
TL;DR
This paper proves that selfinjective algebras of Euclidean type have a representation dimension of three and provides an explicit construction of their Auslander generator.
Contribution
It establishes the exact representation dimension for this class of algebras and constructs their Auslander generator explicitly.
Findings
Representation dimension of Euclidean type selfinjective algebras is three.
Explicit Auslander generator construction provided.
Enhances understanding of module categories for these algebras.
Abstract
We prove that the representation dimension of a selfinjective algebra of euclidean type is equal to three, and give an explicit construction of the Auslander generator of its module category.
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