Some Hopf algebras related to sl2

DOI10.1080/00927872.2021.1894568OpenAlexW3138721184MaRDI QIDQ5153797

Yan Tan, Jing Wang, Zhi Xiang Wu

Publication date: 1 October 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04163

zbMATH Keywords

relationsgeneratorsHopf algebrairreducible moduleGrothendieck ring

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representation theory of lattices (06B15) Hopf algebras and their applications (16T05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Green ring of Drinfeld double \(D(H_4)\).
• Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to \(\mathfrak{sl}_2\)
• Green rings of pointed rank one Hopf algebras of non-nilpotent type.
• The diamond lemma for ring theory
• Pointed Hopf algebras and Kaplansky's 10th conjecture
• Monoidal structure of the category of \(u^+_q\)-modules.
• Irreducible representations of a class of quantum doubles
• Stable Green ring of the Drinfeld doubles of the generalised Taft algebras (corrections and new results)
• Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras
• Grothendieck Groups of a Class of Quantum Doubles
• Noetherian PI Hopf algebras are Gorenstein
• Homological integral of Hopf algebras
• REPRESENTATIONS OF SIMPLE POINTED HOPF ALGEBRAS
• The Green rings of Taft algebras