Representation rings of small quantum groups U¯q(sl2)

DOI10.1063/1.4986839zbMath1375.81142OpenAlexW2757172900MaRDI QIDQ5366984

Dong Su, Shilin Yang

Publication date: 10 October 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4986839

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (7)

Representations of a non-pointed Hopf algebra ⋮ The Grothendieck rings of Wu–Liu–Ding algebras and their Casimir numbers (I) ⋮ Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras ⋮ Unnamed Item ⋮ Grothendieck rings of a class of Hopf algebras of Kac-Paljutkin type ⋮ Representations of the small nonstandard quantum groups X¯q(A1) ⋮ The Grothendieck rings of Wu-Liu-Ding algebras and their Casimir numbers (II)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Green rings of the 2-rank Taft algebra and its two relatives twisted.
• The Green ring of Drinfeld double \(D(H_4)\).
• Green rings of pointed rank one Hopf algebras of nilpotent type.
• Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to \(\mathfrak{sl}_2\)
• Biinvertible actions of Hopf algebras
• Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
• Green rings of pointed rank one Hopf algebras of non-nilpotent type.
• Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT
• A quiver quantum group
• Modules over \(\mathfrak U_ q(\mathfrak s\mathfrak l_ 2)\)
• Indecomposable restricted representations of quantum \(sl_ 2\)
• Finite-dimensional representations of a quantum double
• Monoidal structure of the category of \(u^+_q\)-modules.
• Invariants of 3-manifolds via link polynomials and quantum groups
• Representation theory of the Drinfeld doubles of a family of Hopf algebras.
• The Green rings of the generalized Taft Hopf algebras
• Finite Dimensional Representations of U_t(sl (2)) at Roots of Unity
• REPRESENTATIONS OF SIMPLE POINTED HOPF ALGEBRAS
• The Green rings of Taft algebras

This page was built for publication: Representation rings of small quantum groups U¯q(sl2)