Simple modules of small quantum groups at dihedral groups
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Publication:6200593
DOI10.4171/dm/942arXiv2012.09323MaRDI QIDQ6200593
Cristian Vay, Gastón Andrés García
Publication date: 22 March 2024
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.09323
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Ring-theoretic aspects of quantum groups (16T20)
Cites Work
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- Verma and simple modules for quantum groups at non-abelian groups
- On pointed Hopf algebras over dihedral groups.
- On the classification of finite-dimensional pointed Hopf algebras.
- Representations of pointed Hopf algebras and their Drinfel'd quantum doubles.
- Graded Artin algebras
- Brauer-type reciprocity for a class of graded associative algebras
- Quantum groups and quantum shuffles
- Spherical categories
- Highest weight theory for finite-dimensional graded algebras with triangular decomposition
- Irreducible representations of a class of quantum doubles
- On Nichols algebras over basic Hopf algebras
- On the representation theory of the Drinfeld double of the Fomin-Kirillov algebra \(\mathcal{FK}_3 \)
- Minimal quasitriangular Hopf algebras
- Yetter-Drinfeld modules over bosonizations of dually paired Hopf algebras.
- Representation theory of the Drinfeld doubles of a family of Hopf algebras.
- The Nichols algebra of a semisimple Yetter-Drinfeld module
- Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
- Simple modules of the quantum double of the Nichols algebra of unidentified diagonal type 𝔲𝔣𝔬(7)
- An Introduction to Nichols Algebras
- Drinfel'd doubles and Shapovalov determinants
- On Hopf algebras with triangular decomposition
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