\(R\)-matrix presentation of quantum affine superalgebra for type \(\mathfrak{osp}(2m+1|2n)\)

DOI10.3842/sigma.2024.105MaRDI QIDQ6657482

Honglian Zhang, [[Person:6062972|Author name not available (Why is that?)]], Xiang Hua Wu

Publication date: 6 January 2025

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

universal \(R\)-matrixquantum affine superalgebra\(R\)-matrix presentationDrinfeld presentation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

• Title not available (Why is that?)
• Drinfeld realization of quantum twisted affine algebras via braid group
• Central extensions of quantum current groups
• Drinfeld realization of affine quantum algebras: the relations
• New \(R\)-matrices from representations of braid-monoid algebras based on superalgebras
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Universal \(R\)-matrix for quantized (super)algebras
• Quantum affine algebras and holonomic difference equations
• On generators and defining relations of Yangians
• Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
• Braid group action and quantum affine algebras
• On super-RS algebra and Drinfeld realization of quantum affine superalgebras
• Isomorphism between the \(R\)-matrix and Drinfeld presentations of Yangian in types \(B\), \(C\) and \(D\)
• Determinants of matrices over noncommutative rings
• The Hopf algebra \(\text{Rep\,} U_q \widehat{\mathfrak g\mathfrak l}_\infty\)
• Minor identities for quasi-determinants and quantum determinants
• On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras
• Isomorphism between the \(R\)-matrix and Drinfeld presentations of quantum affine algebra: types \(B\) and \(D\)
• From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: injectivity
• Parabolic presentations of the Yangian \(Y(\mathfrak{gl}_n)\)
• Drinfeld constructions of the quantum affine superalgebra \(U_ q(gl(\widehat{m/n}))\)
• RTT realization of quantum affine superalgebras and tensor products
• Generalized Perk–Schultz models: solutions of the Yang–Baxter equation associated with quantized orthosymplectic superalgebras
• Drinfel'd realization of quantum affine superalgebra
• Comments on the Drinfeld realization of the quantum affine superalgebra and its Hopft algebra structure
• A classification of contragredient lie superalgebras of finite growth
• Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C
• Drinfeld Realization of Twisted Quantum Affine Algebras
• Lie superalgebras
• On generators and defining relations of quantum affine superalgebra Uq(𝔰𝔩̂m|n)
• A Drinfeld-type presentation of the orthosymplectic Yangians

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