The discriminant controls automorphism groups of noncommutative algebras - ScienceDirect Skip
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The discriminant criterion and automorphism groups of quantized algebras - ScienceDirect
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A generalization of down-up algebras was introduced by Cassidy and Shelton, the so-called
“generalized down-up algebras”. We describe the automorphism group of conformal …

Let K be a field and q be a nonzero element of K that is not a root of unity. We give a criterion
for< 0> to be a primitive ideal of the algebra O_q\left(M_m,n\right) of quantum matrices. Next …

Discriminants and automorphism groups of Veronese subrings of skew polynomial rings |
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We study a family of “symmetric” multiparameter quantized Weyl algebras A nq¯, Λ (K) and
some related algebras. We compute the Nakayama automorphism of A nq¯, Λ (K), give a …

We compute the automorphism group of the q-enveloping algebra Uq (sl4+) of the nilpotent
Lie algebra of strictly upper triangular matrices of size 4. The result obtained gives a positive …

The isomorphism problem for multiparameter quantized Weyl algebras | SpringerLink Skip to
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arXiv:1708.01376v2 [math.RA] 7 Dec 2018 Page 1 arXiv:1708.01376v2 [math.RA] 7 Dec 2018
In the name of Allah, the Beneficent, the Merciful. THE AUTOMORPHISM GROUPS AND …

A class of differential calculi is explored which is determined by a set of automorphisms of
the underlying associative algebra. Several examples are presented. In particular …