The discriminant controls automorphism groups of noncommutative algebras

Ceken S., Palmieri J. H., Wang Y. -., Zhang J. J.

ADVANCES IN MATHEMATICS, vol.269, pp.551-584, 2015 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 269
  • Publication Date: 2015
  • Doi Number: 10.1016/j.aim.2014.10.018
  • Journal Name: ADVANCES IN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.551-584
  • Keywords: Automorphism group, Discriminant, Trace, Affine automorphism, Triangular automorphism, Locally nilpotent derivation, RIGIDITY
  • Akdeniz University Affiliated: Yes

Abstract

We use the discriminant to determine the automorphism groups of some noncommutative algebras, and we prove that a family of noncommutative algebras has tractable automorphism groups. (C) 2014 Elsevier Inc. All rights reserved.