Geodesic
NAKAYAMA AUTOMORPHISMS OF ORE EXTENSIONS OVER POLYNOMIAL ALGEBRAS
Glasgow mathematical journal, Tome 62 (2020) no. 3, pp. 518-530

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DOI

Nakayama automorphisms play an important role in the fields of noncommutative algebraic geometry and noncommutative invariant theory. However, their computations are not easy in general. We compute the Nakayama automorphism ν of an Ore extension R[x; σ, δ] over a polynomial algebra R in n variables for an arbitrary n. The formula of ν is obtained explicitly. When σ is not the identity map, the invariant EG is also investigated in terms of Zhang’s twist, where G is a cyclic group sharing the same order with σ. 
LIU, LIYU; MA, WEN. NAKAYAMA AUTOMORPHISMS OF ORE EXTENSIONS OVER POLYNOMIAL ALGEBRAS. Glasgow mathematical journal, Tome 62 (2020) no. 3, pp. 518-530. doi: 10.1017/S0017089519000259
@article{10_1017_S0017089519000259,
     author = {LIU, LIYU and MA, WEN},
     title = {NAKAYAMA {AUTOMORPHISMS} {OF} {ORE} {EXTENSIONS} {OVER} {POLYNOMIAL} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {518--530},
     year = {2020},
     volume = {62},
     number = {3},
     doi = {10.1017/S0017089519000259},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000259/}
}
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