Serre-Lusztig relations for \({\iota}\) quantum groups. III

DOI10.1016/J.JPAA.2022.107253OpenAlexW4308657617MaRDI QIDQ2104883

Yanyan Li

Publication date: 8 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2022.107253

zbMATH Keywords

quantum groupsSerre-Lusztig relations\({\iota}\) quantum groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (2)

Relative braid group symmetries on \(\imath\)quantum groups of Kac-Moody type ⋮ An intrinsic approach to relative braid group symmetries on ı$\imath$quantum groups

Cites Work

• Quantum symmetric Kac-Moody pairs
• Higher order relations for ADE-type generalized \(q\)-Onsager algebras
• Braid group actions on coideal subalgebras of quantized enveloping algebras
• Quantum symmetric pairs and their zonal spherical functions.
• Formulae of \(\iota\)-divided powers in \(\mathbf{U}_q(\mathfrak{sl}_2)\)
• Symmetric pairs for quantized enveloping algebras
• A Serre presentation for the \(\imath\)quantum groups
• Serre-Lusztig relations for \(\imath\) quantum groups. II
• Braid group symmetries on quasi-split \(\imath\)quantum groups via \(\imath\)Hall algebras
• Braid group actions for quantum symmetric pairs of type AIII/AIV
• Hall algebras and quantum symmetric pairs. II: Reflection functors
• Serre-Lusztig relations for \(\imath\) quantum groups
• The bar involution for quantum symmetric pairs
• Hecke Algebras with Unequal Parameters
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• Introduction to quantum groups
• Hall algebras and quantum symmetric pairs I: Foundations

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