Quantum binary polyhedral groups and their actions on quantum planes
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Publication:323747
DOI10.1515/crelle-2014-0047zbMath1401.16045arXiv1303.7203OpenAlexW2964164541MaRDI QIDQ323747
Chelsea Walton, James J. Zhang, Ellen E. Kirkman, Kenneth S. Chan
Publication date: 10 October 2016
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.7203
Rings arising from noncommutative algebraic geometry (16S38) 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) Hopf algebras and their applications (16T05)
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Cites Work
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- Hopf actions and Nakayama automorphisms.
- Hopf algebra deformations of binary polyhedral groups.
- Shephard-Todd-Chevalley theorem for skew polynomial rings.
- Graded algebras of global dimension 3
- Binary polyhedral groups and Euclidean diagrams
- Some topics on \(GL_ q(n)\)
- Modules over regular algebras of dimension 3
- Hopf algebras of low dimension
- Calculations of some groups of Hopf algebra extensions
- Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
- Gourmet's guide to Gorensteinness
- Lectures on algebraic quantum groups
- Certain invariant subrings are Gorenstein. I
- Self-dual modules of semisimple Hopf algebras.
- Gorensteinness of invariant subrings of quantum algebras
- Semisimple Hopf actions on commutative domains.
- Quiver varieties and Lusztig's algebra.
- Gorenstein subrings of invariants under Hopf algebra actions.
- Finite Subgroups of the Quantum General Linear Group
- Lower bounds of growth of Hopf algebras
- Rigidity of graded regular algebras
- Semisimple Cosemisimple Hopf Algebras
- Growth of graded noetherian rings
- HOPF IMAGES AND INNER FAITHFUL REPRESENTATIONS