Automorphisms and isomorphism of quantum generalized Weyl algebras
Rings and Algebras
2018-08-01 v2
Abstract
We classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including those where the parameter q is a root of unity, thereby completing the results obtained by [Bavula, V. V.; Jordan, D. A. Isomorphism problems and groups of automorphisms for generalized Weyl algebras. Trans. Amer. Math. Soc. 353 (2001), no. 2, 769-794] and [Richard, L.; Solotar, A. Isomorphisms between quantum generalized Weyl algebras. J. Algebra Appl. 5 (2006), no. 3, 271-285]
Keywords
Cite
@article{arxiv.1206.4417,
title = {Automorphisms and isomorphism of quantum generalized Weyl algebras},
author = {Mariano Suárez-Alvarez and Quimey Vivas},
journal= {arXiv preprint arXiv:1206.4417},
year = {2018}
}
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10 pages