The Launois-Lenagan conjecture

Abstract

In this note we prove the Launois-Lenagan conjecture on the classification of the automorphism groups of the algebras of quantum matrices R_q[M_n] of square shape for all positive integers n, base fields K, and deformation parameters q \in K^* which are not roots of unity.

7 pages, AMS Latex, v. 2 contains a shorter proof of the result, minor changes in the final v.3

References in corpus (2)

• A proof of the Goodearl-Lenagan polynormality conjecture
• Automorphisms of quantum matrices

Cited by in corpus (9)

• From quantum Ore extensions to quantum tori via noncommutative UFDs
• Unipotent and Nakayama automorphisms of quantum nilpotent algebras
• The isomorphism problem for multiparameter quantized Weyl algebras
• The discriminant criterion and automorphism groups of quantized algebras
• Actions of quantum linear spaces on quantum algebras
• Automorphisms of quantum matrices
• The discriminant controls automorphism groups of noncommutative algebras
• Automorphism groupoids in noncommutative projective geometry
• The Automorphism Groups for a family of Generalized Weyl Algebras