A class of semisimple Hopf algebras acting on quantum polynomial algebras

DOI10.1090/conm/727/14643zbMath1446.16036arXiv1710.02729OpenAlexW2964202180MaRDI QIDQ5239135

Deividi Pansera

Publication date: 22 October 2019

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02729

zbMATH Keywords

semisimple Hopf algebrasquantum polynomialsinner faithful action

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Skew fields, division rings (12E15) Filtered associative rings; filtrational and graded techniques (16W70) Hopf algebras and their applications (16T05)

Related Items (7)

A note on the discriminant of reflection Hopf algebras ⋮ The Grothendieck ring of Yetter-Drinfeld modules over a class of 2n²-dimensional Kac-Paljutkin Hopf algebras ⋮ The bicrossed products of $H_4$ and $H_8$ ⋮ Three infinite families of reflection Hopf algebras ⋮ On the quasitriangular structures of abelian extensions of ℤ ₂ ⋮ Grothendieck rings of a class of Hopf algebras of Kac-Paljutkin type ⋮ Ore extensions of automorphism type for Hopf algebras

Cites Work

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• Hopf actions and Nakayama automorphisms.
• Quantum polynomial algebras
• Lectures on algebraic quantum groups
• Semisimple Hopf algebras of dimension \(6\), \(8\)
• Semisimple Hopf actions on commutative domains.
• Semisimple Hopf actions on Weyl algebras
• Finite dimensional Hopf actions on algebraic quantizations
• Gorenstein subrings of invariants under Hopf algebra actions.
• Twisted automorphisms of Hopf algebras
• Derivations et automorphismes de quelques algebras quantiques
• HOPF IMAGES AND INNER FAITHFUL REPRESENTATIONS
• A note on a paper by Cuadra, Etingof and Walton

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