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arXiv · 1808.03589

Nakayama automorphisms of Ore extensions over polynomial algebras

Liyu Liu·Wen Ma
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Abstract

Nakayama automorphisms play an important role in several mathematical branches, which are known to be tough to compute in general. We compute the Nakayama automorphism $\nu$ of any Ore extension $R[x; \sigma, \delta]$ over a polynomial algebra $R$ in $n$ variables for an arbitrary $n$. The formula of $\nu$ is obtained explicitly. When $\sigma$ is not the identity map, the invariant $E^G$ is also investigated in term of Zhang's twist, where $G$ is a cyclic group sharing the same order with $\sigma$.

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Liyu Liu, Wen Ma. 2018-08-10. Nakayama automorphisms of Ore extensions over polynomial algebras. https://doi.org/10.1017/s0017089519000259

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