Representations of super Yangian

DOI10.1063/1.530932zbMath0855.17012arXivhep-th/9411243OpenAlexW3101645327MaRDI QIDQ4873539

Ruibin Zhang

Publication date: 16 February 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9411243

zbMATH Keywords

highest weight representationYangianPoincaré-Birkhoff-Witt type basisLie superalgebra \(gl (1\mid 1)\)

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

A note on odd reflections of super Yangian and Bethe ansatz, Completeness of Wronskian Bethe equations for rational \(\mathfrak{gl}_{\mathsf{m}|\mathsf{n}}\) spin chains, The algebraic structure of the gl(n|m) color Calogero–Sutherland models, Unnamed Item, Yangian of \(\mathrm{AdS}_3 /\mathrm{CFT}_2\) and its deformation, Solutions of $ \newcommand{\g}{\mathfrak{g}} \newcommand{\n}{\mathfrak{n}} \newcommand{\gl}{\mathfrak{gl}} \gl_{m|n}$ XXX Bethe ansatz equation and rational difference operators, The \(gl(M| N)\) super Yangian and its finite-dimensional representations, New quiver-like varieties and Lie superalgebras, Representations of the super Yangians of types \(A\) and \(C\), On super Yangian covariance of the triple product system, New compact construction of eigenstates for supersymmetric spin chains, Finite-dimensional irreducible representations of twisted Yangians, On the supersymmetric XXX spin chains associated to \(\mathfrak{gl}_{1|1} \), Unnamed Item, Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra, Odd reflections in the Yangian associated with \(\mathfrak{gl}(m|n)\), Representations of the Yangian of a Lie superalgebra of type $ A(m,n)$

Cites Work

• Quantum Berezinian and the classical Capelli identity
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Mean-periodic extensions of functions
• The Yangians, Bethe Ansatz and combinatorics
• A new interpretation of Gelfand-Tsetlin bases
• Gelfand-Tsetlin basis for representations of Yangians
• The quantum super-Yangian and Casimir operators of \(U_ q{\mathfrak {gl}}(M| N)\)
• The cohomology structure of an associative ring