McKay correspondence for semisimple Hopf actions on regular graded algebras. II (Q2418816)

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McKay correspondence for semisimple Hopf actions on regular graded algebras. II
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    McKay correspondence for semisimple Hopf actions on regular graded algebras. II (English)
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    29 May 2019
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    Summary: We continue our study of the McKay correspondence for grading preserving actions of semisimple Hopf algebras \(H\) on (noncommutative) Artin-Schelter regular algebras \(A\). Here, we establish correspondences between module categories over \(A^H\), over \(A\#H\), and over End\(_{A^H}(A)\). We also study homological properties of (endomorphism rings of) maximal Cohen-Macaulay modules over\(A^H\).
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    Artin-Schelter regular algebra
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    Cohen-Macaulay property
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    Gabriel quiver
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    Hopf algebra action
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    McKay correspondence
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