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Pointed Hopf actions on quantum generalized Weyl algebras

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 نشر من قبل Jason Gaddis
 تاريخ النشر 2021
  مجال البحث
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We study actions of pointed Hopf algebras in the $ZZ$-graded setting. Our main result classifies inner-faithful actions of generalized Taft algebras on quantum generalized Weyl algebras which respect the $ZZ$-grading. We also show that generically the invariant rings of Taft actions on quantum generalized Weyl algebras are commutative Kleinian singularities.



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