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arXiv · 1711.11447

Nakayama automorphism of quasi-commutative skew PBW extensions over AS-regular algebras

Héctor Suárez·Oswaldo Lezama·Armando Reyes
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Abstract

Graded quasi-commutative skew PBW extensions are isomorphic to graded iterated Ore extensions of endomorphism type, whence graded quasi-commutative skew PBW extensions with coefficients in AS-regular algebras are skew Calabi-Yau and the Nakayama automorphism exists for these extensions. With this in mind, in this paper we give a description of Nakayama automorphism for these non-commutative algebras using the Nakayama automorphism of the ring of the coefficients.

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Héctor Suárez, Oswaldo Lezama, Armando Reyes. 2017-11-29. Nakayama automorphism of quasi-commutative skew PBW extensions over AS-regular algebras. https://arxiv.org/abs/1711.11447

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