Nakayama Automorphism of Some Skew PBW Extensions

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Héctor Suárez
Armando Reyes


Skew PBW extensions, Nakayama automorphism, Artin- Schelter regular algebras, Calabi-Yau algebras


Let R be an Artin-Schelter regular algebra and A = σ(R)⟨x1,...,xn a graded quasi-commutative skew PBW extension over R. In this paper we describe the Nakayama automorphism of A using the Nakayama automor- phism of the ring of coefficients R. We calculate explicitly the Nakayama automorphism of some skew PBW extensions.


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