Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra (Q2062619)

scientific article; zbMATH DE number 7451105

Language	Label	Description	Also known as
English	Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra	scientific article; zbMATH DE number 7451105

Statements

instance of

scholarly article

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title

Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra (English)

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author

Yanyan Li

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published in

Letters in Mathematical Physics

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publication date

27 December 2021

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full work available at URL

https://arxiv.org/abs/2103.08758

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zbMATH Keywords

Gelfand-Tsetlin bases

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super Yangian

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quantum affine superalgebra

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MaRDI profile type

Publication

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cites work

Representations of quantum affine algebras of type $B_N$

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Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras

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A new interpretation of Gelfand-Tsetlin bases

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Isomorphism of two realizations of quantum affine algebra $U_ q(\widehat{\mathfrak{gl}}(n))$

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The Hopf algebra $\text{Rep\,} U_q \widehat{\mathfrak g\mathfrak l}_\infty$

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Gelfand-Tsetlin modules for $\mathfrak{gl}(m|n)$

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Gauss decomposition of the Yangian $Y({\mathfrak{gl}}_{m|n})$

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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

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On the supersymmetric XXX spin chains associated to $\mathfrak{gl}_{1|1} $

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Jacobi–Trudi Identity and Drinfeld Functor for Super Yangian

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Gelfand-Tsetlin basis for representations of Yangians

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Combinatorial bases for covariant representations of the Lie superalgebra gl(m|n)

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Centralizer construction for twisted Yangians

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Quantum Berezinian and the classical Capelli identity

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Representations of twisted Yangians associated with skew Young diagrams

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Yangian of the general linear Lie superalgebra

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Yangians and Gelfand-Zetlin bases

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Representations of Yangians with GelfandZetlin bases

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Q4386351

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On irreducibility of tensor products of Yangian modules associated with skew Young diagrams

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Finite-dimensional representations of the quantum superalgebra $U_ q[gl(n/m)]$ and related $q$-identities

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THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$

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Gel’fand–Zetlin basis and Clebsch–Gordan coefficients for covariant representations of the Lie superalgebra gl(m∣n)

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Quantized enveloping algebras associated with simple Lie superalgebras and their universal $R$-matrices

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Quantum loop algebras and $\ell$-root operators

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RTT realization of quantum affine superalgebras and tensor products

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Representations of super Yangian

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The $gl(M| N)$ super Yangian and its finite-dimensional representations

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Comments on the Drinfeld realization of the quantum affine superalgebra and its Hopft algebra structure

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Identifiers

Mathematics Subject Classification ID

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10.1007/S11005-021-01488-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:2062619