Invariant theory for quantum Weyl algebras under finite group action

2015/01/30 by Ceken, Secil, Palmieri, John H., Wang, Yanhua +1 · 1 citation
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1501.07881

Abstract

We study the invariant theory of a class of quantum Weyl algebras under group actions and prove that the fixed subrings are always Gorenstein. We also verify the Tits alternative for the automorphism groups of these quantum Weyl algebras.

Cited by

• Chevalley property and discriminant ideals of Cayley-Hamilton Hopf Algebras

Related

• Gorensteinness of invariant subrings of quantum algebras
• Invariants of Weyl group action and q-characters of quantum affine algebras
• Quantum Galois theory for finite groups
• Finite dimensional Hopf actions on Weyl algebras
• Quantum Linear Galois Algebras