Projective class rings of the category of Yetter-Drinfeld modules over the 2-rank taft algebra

DOI10.3934/era.2023256OpenAlexW4384447801MaRDI QIDQ6153141

Shilin Yang, Unnamed Author

Publication date: 13 February 2024

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2023256

zbMATH Keywords

tensor productYetter-Drinfeld moduleprojective class ring

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hopf algebras and their applications (16T05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Green rings of the 2-rank Taft algebra and its two relatives twisted.
• Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type. I: Non-semisimple classes in \(\mathbf{PSL}_n(q)\).
• The projective class rings of a family of pointed Hopf algebras of rank two
• On the classification of finite-dimensional pointed Hopf algebras.
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Representations of finite-dimensional Hopf algebras
• On oriented quantum algebras derived from representations of the quantum double of a finite-dimensional Hopf algebra.
• Finite quantum groups and Cartan matrices
• Yetter-Drinfeld modules over the Hopf-Ore extension of the group algebra of dihedral group.
• On Hopf algebras over quantum subgroups
• Drinfeld doubles of the \(n\)-rank Taft algebras and a generalization of the Jones polynomial
• Finite-dimensional Hopf algebras over the Hopf algebra \(H_{d:-1,1}\) of Kashina
• Finite-dimensional Hopf algebras over the Hopf algebra \(H_{b:1}\) of Kashina
• Quantum groups and representations of monoidal categories
• A class of noncommutative and noncocommutative hopf algebras: the quantum version
• Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$
• On Hopf algebras over the unique 12-dimensional Hopf algebra without the dual Chevalley property
• The Grothendieck ring of Yetter-Drinfeld modules over a class of 2n²-dimensional Kac-Paljutkin Hopf algebras

This page was built for publication: Projective class rings of the category of Yetter-Drinfeld modules over the 2-rank taft algebra