The Jacobian, Reflection Arrangement and Discriminant for Reflection Hopf Algebras

DOI10.1093/imrn/rnz380zbMath1498.16012arXiv1902.00421OpenAlexW2999119452WikidataQ126554478 ScholiaQ126554478MaRDI QIDQ5021154

Ellen E. Kirkman, James J. Zhang

Publication date: 12 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00421

zbMATH Keywords

JacobiandiscriminantHopf algebra actionsnoncommutative invariant theoryreflection arrangementArtin-Schelter regular algebra

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Hopf algebras and their applications (16T05)

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A note on the discriminant of reflection Hopf algebras ⋮ Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras

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