McKay Correspondence for semisimple Hopf actions on regular graded algebras, II

2016/10/04 by Kenneth Chan, Ellen Kirkman, Chan, Kenneth +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1610.01220

openalex created_date 2016/09/16 · openalex publication_date 2016/10/04 · openalex updated_date 2026/08/01

Abstract

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.

Cited by

• Commonly Graded Algebras and Their Homological Properties
• Noncommutative Auslander theorem
• Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras

Related

• McKay Correspondence for semisimple Hopf actions on regular graded algebras, I
• Actions of Taft Algebras on Noetherian Down-Up Algebras
• Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras
• Semisimple Hopf actions on commutative domains
• Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity