Finite-dimensional representations of quantum affine algebras at roots of unity
From MaRDI portal
Publication:4874242
DOI10.1090/S0894-0347-96-00183-XzbMath0867.17011arXivhep-th/9410189OpenAlexW1901406586MaRDI QIDQ4874242
Publication date: 10 August 1997
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9410189
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Related Items
Unnamed Item, Evaluation representations of quantum affine algebras at roots of unity, Asymptotic representations and Drinfeld rational fractions, Meromorphic tensor equivalence for Yangians and quantum loop algebras, Geometry of the analytic loop group, An imaginary PBW basis for quantum affine algebras of type 1, Representations of Uεres(sl2) via restricted q-Fock spaces, A new aspect of representations of \(U_q(s\hat l_2)\) -- root of unity case, Verma-type modules for quantum affine Lie algebras, Unnamed Item, Imaginary Verma modules and Kashiwara algebras for \(U_q(\hat{\mathfrak{g}})\), Yangians, quantum loop algebras, and abelian difference equations, The \(R\)-matrix action of untwisted affine quantum groups at roots of 1, The meromorphic \(R\)-matrix of the Yangian, A PBW basis for lusztig’s form of untwisted affine quantum groups, Poles of finite-dimensional representations of Yangians, The \(q\)-characters at roots of unity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
- Convex orderings in affine root systems. II
- Quantum affine algebras
- Some remarkable degenerations of quantum groups
- Cyclic monodromy matrices for \(sl(n)\) trigonometric \(R\)-matrices
- A basis of type Poincaré-Birkhoff-Witt for the quantum algebra of \(\widehat{sl}(2)\)
- Braid group action and quantum affine algebras
- Convex bases of PBW type for quantum affine algebras
- The quantum Weyl group and the universal quantum \(R\)-matrix for affine Lie algebra \(A^{(1)}_ 1\)
- Quasitriangularity of quantum groups at roots of 1
- Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
- Quantum Coadjoint Action
- On normal subgroups of Chevalley groups over commutative rings
- Introduction to quantum groups
