The discriminant controls automorphism groups of noncommutative algebras

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.

31 Pages

References in corpus (4)

• Automorphisms and isomorphism of quantum generalized Weyl algebras
• The Launois-Lenagan conjecture
• Unipotent and Nakayama automorphisms of quantum nilpotent algebras
• Rigidity of quantum tori and the Andruskiewitsch-Dumas conjecture

Cited by in corpus (2)

• The discriminant criterion and automorphism groups of quantized algebras
• Unipotent and Nakayama automorphisms of quantum nilpotent algebras