The Nakayama automorphism of a self-injective preprojective algebra

Published 27 Jun 2019 in math.RT and math.RA | (1906.11817v2)

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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Joseph Grant

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