Equivalences between three presentations of orthogonal and symplectic Yangians
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Publication:1737047
DOI10.1007/s11005-018-1108-6zbMath1472.17051arXiv1706.05176OpenAlexW2625009109MaRDI QIDQ1737047
Vidas Regelskis, Curtis Wendlandt, Nicolas Guay
Publication date: 26 March 2019
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.05176
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20)
Related Items (23)
Isomorphism between the \(R\)-matrix and Drinfeld presentations of Yangian in types \(B\), \(C\) and \(D\) ⋮ Orthogonal and symplectic Yangians: linear and quadratic evaluations ⋮ Isomorphism between the \(R\)-matrix and Drinfeld presentations of quantum affine algebra: types \(B\) and \(D\) ⋮ Transfer matrices of rational spin chains via novel BGG-type resolutions ⋮ \(R\)-matrix presentation of quantum affine algebra in type \(A_{2n-1}^{(2)}\) ⋮ Yangians and Baxter's relations ⋮ Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C ⋮ A Drinfeld-type presentation of the orthosymplectic Yangians ⋮ Representations of the Yangians associated with Lie superalgebras \(\mathfrak{osp}(1|2n)\) ⋮ Yangian doubles of classical types and their vertex representations ⋮ Spinorial \(R\) operator and algebraic Bethe ansatz ⋮ Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains ⋮ Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains ⋮ Representations of orthogonal and symplectic Yangians ⋮ The \(R\)-matrix presentation for the Yangian of a simple Lie algebra ⋮ Bethe subalgebras in Yangians and the wonderful compactification ⋮ Representations of quantum affine algebras in their \(R\)-matrix realization ⋮ Shifted quantum affine algebras: integral forms in type \(A\) ⋮ Orthogonal and symplectic Yangians and Lie algebra representations ⋮ Vertex representations for Yangians of Kac-Moody algebras ⋮ The meromorphic \(R\)-matrix of the Yangian ⋮ Yangians versus minimal W-algebras: A surprising coincidence ⋮ Poles of finite-dimensional representations of Yangians
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