The PBW basis of \(U_{q,\overline{q}}(\ddot{\mathfrak{gl}}_n)\)

DOI10.1007/s00031-022-09696-xarXiv1905.06277OpenAlexW4229031657MaRDI QIDQ6152218

Andrei Neguţ

Publication date: 11 March 2024

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06277

zbMATH Keywords

PBW basisquantum toroidal algebra

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) Hopf algebras, quantum groups and related topics (16Txx) Associative rings and algebras with additional structure (16Wxx)

Cites Work

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• Bethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebras
• On the Hall algebra of an elliptic curve. I.
• Central extensions of quantum current groups
• Drinfeld realization of the elliptic Hall algebra
• Quantum toroidal and shuffle algebras
• Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
• On correlation functions of Drinfeld currents and shuffle algebras
• Shuffle algebras associated to surfaces

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