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Invariants for automorphisms of certain iterated skew polynomial rings

Invariants for automorphisms of certain iterated skew polynomial rings

Rings of invariants are identified for some automorphisms θ of certain iterated skew polynomial rings R , including the enveloping algebra of sl 2 ( k ), the Weyl algebra A 1 and their quantizations. We investigate how finite-dimensional simple R -modules split over the ring of invariants R θ …