Serre-Lusztig relations for \(\imath\) quantum groups. II

DOI10.1007/s11005-021-01497-9zbMath1491.17009arXiv2102.08200OpenAlexW4206844304MaRDI QIDQ2072195

Yanyan Li

Publication date: 26 January 2022

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.08200

zbMATH Keywords

quantum symmetric pairs\(\imath\) quantum groupsSerre-Lusztig relations

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 (1)

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

Cites Work

• Quantum symmetric Kac-Moody pairs
• Higher order relations for ADE-type generalized \(q\)-Onsager algebras
• Generalized \(q\)-Onsager algebras and boundary affine Toda field theories
• Quantum symmetric pairs and their zonal spherical functions.
• The Lusztig automorphism of the \(q\)-Onsager algebra
• 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
• Cartan subalgebras for quantum symmetric pair coideals
• Analogues of Lusztig's higher order relations for the q-Onsager algebra
• The bar involution for quantum symmetric pairs
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• Canonical bases arising from quantum symmetric pairs of Kac–Moody type
• Defining relations of quantum symmetric pair coideal subalgebras
• Introduction to quantum groups

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