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math.RA2020★ 4 cited
Fixed rings of twisted generalized Weyl algebras
Jason Gaddis, Daniele Rosso
Twisted generalized Weyl algebras (TGWAs) are a large family of algebras that includes several algebras of interest for ring theory and representation theory, such as Weyl algebras…
math.RA2020★ 5 cited
Reflection Groups and Rigidity of Quadratic Poisson Algebras
Jason Gaddis, Padmini Veerapen, Xingting Wang
In this paper, we study the invariant theory of quadratic Poisson algebras. Let G be a finite group of the graded Poisson automorphisms of a quadratic Poisson algebra A. When the P…