Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations mixing particles and holes
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Publication:1654160
DOI10.3842/SIGMA.2018.067zbMath1395.81127arXiv1803.01586MaRDI QIDQ1654160
Publication date: 7 August 2018
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.01586
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Baxter equations (16T25)
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Affinization of \(q\)-oscillator representations of \(U_q (\mathfrak{gl}_n)\) ⋮ Matrix product solution to the reflection equation associated with a coideal subalgebra of \(U_q(A^{(1)}_{n-1})\)
Cites Work
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- Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\)
- Combinatorial Yang-Baxter maps arising from the tetrahedron equation
- Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Tetrahedron equation and quantum \(R\) matrices for modular double of \(U_q(D^{(2)}_{n+1}), U_q (A ^{(2)}_{2n})\) and \(U_q(C^{(1)}_{n})\)
- Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations of \(U_q(A^{(2)}_{2n})\), \(U_q(C^{(1)}_n)\) and \(U_q(D^{(2)}_{n+1})\)
- Two-Dimensional R-Matrices — Descendants of Three-Dimensional R-Matrices
- Supertetrahedra and superalgebras
- Tetrahedron and 3D reflection equations from quantized algebra of functions
- Box-Ball System with Reflecting End
- Tetrahedron equation and generalized quantum groups
- Matrix product solutions to the reflection equation from three dimensional integrability
- Zamolodchikov's tetrahedron equation and hidden structure of quantum groups
- Quantum geometry of three-dimensional lattices
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