Irreducible modules of finite dimensional quantum algebras of type A at roots of unity
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Publication:4830782
DOI10.1063/1.1453498zbMath1059.17010arXivmath/0103021OpenAlexW3099582783MaRDI QIDQ4830782
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0103021
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
Related Items (3)
Evaluation representations of quantum affine algebras at roots of unity ⋮ Inductive construction of nilpotent modules of quantum groups at roots of unity ⋮ Nilpotent representations of classical quantum groups at roots of unity
Cites Work
- A Poincaré-Birkhoff-Witt theorem for quantized universal enveloping algebras of type \(A_ N\)
- Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)
- Cyclic representations of \(U_ q({\mathfrak sl}(n +1,\mathbb{C}))\) at \(q^ N=1\)
- Chiral Potts model as a descendant of the six-vertex model
- Roots of unity: Representations for symplectic and orthogonal quantum groups
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