Yangian of the general linear Lie superalgebra

DOI10.3842/SIGMA.2020.112zbMath1478.17016arXiv2011.02361OpenAlexW3096574639MaRDI QIDQ2217968

Yanyan Li

Publication date: 12 January 2021

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

Full work available at URL: https://arxiv.org/abs/2011.02361

zbMATH Keywords

YangianBerezinianHopf superalgebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Ring-theoretic aspects of quantum groups (16T20) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (4)

Completeness of Bethe ansatz for Gaudin models associated with \(\mathfrak{gl}(1|1)\) ⋮ Representations of the super Yangians of types \(A\) and \(C\) ⋮ Representations of the Yangians associated with Lie superalgebras \(\mathfrak{osp}(1|2n)\) ⋮ Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra

Cites Work

• Unnamed Item
• Quantum Berezinian and the classical Capelli identity
• A new interpretation of Gelfand-Tsetlin bases
• Yangian of the queer Lie superalgebra
• Shuffle algebra realizations of type \(A\) super Yangians and quantum affine superalgebras for all Cartan data
• Gauss decomposition of the Yangian \(Y({\mathfrak{gl}}_{m|n})\)
• On the structure of Hopf algebras
• Yangians and classical Lie algebras

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