Isomorphism of the Yangian \(Y_{\hbar}(A(m, n))\) of the special linear Lie superalgebra and the quantum loop superalgebra \(U_{\hbar}(LA(m, n))\)

DOI10.1134/S0040577919010094zbMath1429.17017OpenAlexW2935793177MaRDI QIDQ2313824

Vladimir Stukopin

Publication date: 23 July 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577919010094

zbMATH Keywords

Lie superalgebraquantum affine superalgebraquantum loop superalgebraYangian moduleYangian of a Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)

Related Items (3)

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

Cites Work

• The Yangian of the strange Lie superalgebra and its quantum double
• Quantum Berezinian and the classical Capelli identity
• Twisted Yangians, Drinfeld approach
• Degenerate affine Hecke algebras and Yangians
• A sketch of Lie superalgebra theory
• Yangians of Lie superalgebras of type \(A(m,n)\)
• Yangians and quantum loop algebras
• On Drinfeld's second realization of the AdS/CFT \(\mathfrak{su}(2|2)\) Yangian
• Meromorphic tensor equivalence for Yangians and quantum loop algebras
• Yangian of the strange Lie superalgebra of \(Q_{n-1}\) type, Drinfel'd approach
• The Yangian double of the Lie superalgebra \(A(m,n)\)
• Yangians, quantum loop algebras, and abelian difference equations
• Representations of the Yangian of a Lie superalgebra of type $ A(m,n)$
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