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arXiv · 1906.11817

The Nakayama automorphism of a self-injective preprojective algebra

Joseph Grant
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Abstract

We give a simple proof, using Auslander-Reiten theory, that the preprojective algebra of a basic hereditary algebra of finite representation type is Frobenius. We then describe its Nakayama automorphism, which is induced by the Nakayama functor on the module category of our hereditary algebra.

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BibTeXRIS

Joseph Grant. 2019-06-27. The Nakayama automorphism of a self-injective preprojective algebra. https://doi.org/10.1112/blms.12313

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