Baxter operators and asymptotic representations
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Publication:2412569
DOI10.1007/s00029-017-0320-zzbMath1407.17017arXiv1611.00628OpenAlexW3100050369MaRDI QIDQ2412569
Huafeng Zhang, Giovanni Felder
Publication date: 23 October 2017
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.00628
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items
Elliptic quantum groups and Baxter relations, Asymptotic representations of quantum affine superalgebras, Length-two representations of quantum affine superalgebras and Baxter operators, Yangians and Baxter's relations
Cites Work
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- Q-operators for the open Heisenberg spin chain
- \(Q\)-operators for higher spin eight vertex models with an even number of sites
- Cluster algebras and category \(\mathcal O\) for representations of Borel subalgebras of quantum affine algebras
- Representations of quantum affine superalgebras
- Baxter Q-operators and representations of Yangians
- On connection matrices of quantum Knizhnik-Zamolodchikov equations based on Lie super algebras
- On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\)
- Baxter's relations and spectra of quantum integrable models
- Elliptic quantum group \(U_{q,p}(\widehat{\mathfrak{sl}}_2)\), Hopf algebroid structure and elliptic hypergeometric series
- Quantum affine algebras
- Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
- Integrable structure of conformal field theory. III: The Yang-Baxter relation
- Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
- Elliptic quantum groups \(E_{\tau,\eta}({\mathfrak sl}_2)\) and quasi-Hopf algebras
- Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers
- Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\))
- Spectra of tensor products of finite dimensional representations of Yangians
- Representations of quantum affine algebras
- Quasi-Hopf twistors for elliptic quantum groups
- Representations of quantum affinizations and fusion product
- Partition function of the eight-vertex lattice model
- Yangians, quantum loop algebras, and abelian difference equations
- Asymptotic representations and Drinfeld rational fractions
- Affinization of category $\mathcal {O}$ for quantum groups
- Finite-dimensional irreducible representations of twisted Yangians
- Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz