The Yangian double of the Lie superalgebra \(A(m,n)\)

DOI10.1007/s10688-006-0025-0zbMath1152.17007OpenAlexW1968307034MaRDI QIDQ2498301

Vladimir Stukopin

Publication date: 16 August 2006

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-006-0025-0

zbMATH Keywords

Lie superalgebraquantum doubleYangianuniversal R-matrixYangian double

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (8)

Twisted Yangians, Drinfeld approach ⋮ The Yangian of the strange Lie superalgebra and its quantum double ⋮ Affine super-Yangian and a quantum Weyl groupoid ⋮ The Drinfeld Yangian of the queer Lie superalgebra. Defining relations ⋮ Relation between categories of representations of the super-Yangian of a special linear Lie superalgebra and quantum loop superalgebra ⋮ Unnamed Item ⋮ Isomorphism of the Yangian \(Y_{\hbar}(A(m, n))\) of the special linear Lie superalgebra and the quantum loop superalgebra \(U_{\hbar}(LA(m, n))\) ⋮ Representations of the Yangian of a Lie superalgebra of type $ A(m,n)$

Cites Work

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• Unnamed Item
• Quantum Berezinian and the classical Capelli identity
• A sketch of Lie superalgebra theory
• Theta vacua, charge confinement and charged sectors from nonregular representations of CCR algebras
• A'Campo's theorem on the discriminant
• Yangian double
• Yangian of the queer Lie superalgebra

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