R -matrix presentation for super-Yangians Y(osp(m|2n))

DOI10.1063/1.1525406zbMath1061.17014arXivmath/0111325OpenAlexW1521922759MaRDI QIDQ4832883

Nicolas Crampé, Luc Frappat, Jean Avan, Eric Ragoucy, Daniel Arnaudon

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/0111325

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (26)

A note on odd reflections of super Yangian and Bethe ansatz ⋮ Representations of twisted Yangians of types B, C, D: I ⋮ Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups ⋮ Twisted Yangians for symmetric pairs of types B, C, D ⋮ COIDEAL SUBALGEBRAS IN QUANTUM AFFINE ALGEBRAS ⋮ Isomorphism between the \(R\)-matrix and Drinfeld presentations of Yangian in types \(B\), \(C\) and \(D\) ⋮ Bethe ansatz equations and exact s matrices for the \(\text{Osp}(M|2n)\) open super-spin chain ⋮ Orthogonal and symplectic Yangians: linear and quadratic evaluations ⋮ New spin generalisation for long range interaction models ⋮ Yangian Characters and Classical $$\mathcal{W}$$ -Algebras ⋮ Representations of the super Yangians of types \(A\) and \(C\) ⋮ Feigin-Frenkel center in types \(B\), \(C\) and \(D\) ⋮ A Drinfeld-type presentation of the orthosymplectic Yangians ⋮ Representations of the Yangians associated with Lie superalgebras \(\mathfrak{osp}(1|2n)\) ⋮ Classification of reflection matrices related to (super-)Yangians and application to open spin chain models ⋮ Reflection matrices for theU_q[spo(2n|2m) vertex model] ⋮ Reflection matrices for theU_q[osp(r|2m)⁽¹⁾ vertex model] ⋮ Equivalences between three presentations of orthogonal and symplectic Yangians ⋮ Representations of orthogonal and symplectic Yangians ⋮ Manin matrices for quadratic algebras ⋮ The \(R\)-matrix presentation for the Yangian of a simple Lie algebra ⋮ Twisted Yangians of small rank ⋮ Representations of twisted Yangians of types B, C, D. II ⋮ Odd reflections in the Yangian associated with \(\mathfrak{gl}(m|n)\) ⋮ On osp(M?2n) Integrable Open Spin Chains ⋮ On reflection algebras and twisted Yangians

Cites Work

• On Drinfeld's realization of quantum affine algebras
• Quantum Berezinian and the classical Capelli identity
• Solutions of the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• The Yangians, Bethe Ansatz and combinatorics
• The \(gl(M| N)\) super Yangian and its finite-dimensional representations
• Spontaneous symmetry breaking in thegl(N)-NLS hierarchy on the half line
• Yangians and classical Lie algebras
• REPRESENTATIONS OF REFLECTION ALGEBRAS
• Boundary conditions for integrable quantum systems
• Twisted super-Yangians and their representations

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