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math.RA2018★ 1 cited
Noncommutative Noether's Problem vs Classical Noether's Problem
Vyacheslav Futorny, João Schwarz
We address the Noncommutative Noether's Problem on the invariants of Weyl fields for linear actions of finite groups. We prove that if the variety An(k)/G is rational then the Nonc…
math.RA2018
Algebras of invariant differential operators
Vyacheslav Futorny, Joao Schwarz
We prove that an invariant subalgebra A_n^W of the Weyl algebra A_n is a Galois order over an adequate commutative subalgebra Γwhen W is a two-parameters irreducible unitary reflec…