Duality of Lusztig and RTT integral forms of \(U_{\boldsymbol{v}}(L\mathfrak{sl}_n)\)

DOI10.1016/j.jpaa.2020.106469OpenAlexW2975674752MaRDI QIDQ2196330

Aleksander Tsymbaliuk

Publication date: 28 August 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11814

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (1)

PBWD bases and shuffle algebra realizations for \(U_v(L\mathfrak{sl}_n)\), \(U_{v_1,v_2} (L\mathfrak{sl}_n)\), \(U_v (L\mathfrak{sl}(m|n))\) and their integral forms

Cites Work

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• Quantum groups at roots of 1
• Quantum toroidal and shuffle algebras
• Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
• Quantum function algebra at roots of 1
• Generalization of Drinfeld quantum affine algebras
• Shifted quantum affine algebras: integral forms in type \(A\)
• Representations of quantum affinizations and fusion product

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