A Serre presentation for the \(\imath\)quantum groups

DOI10.1007/s00031-020-09581-5zbMath1505.20047arXiv1810.12475OpenAlexW3034719154MaRDI QIDQ1981137

Yanyan Li

Publication date: 9 September 2021

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

Full work available at URL: https://arxiv.org/abs/1810.12475

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (12)

The bar involution for quantum symmetric pairs – hidden in plain sight ⋮ \(\imath\)Quantum groups of split type via derived Hall algebras ⋮ Braid group action and quasi-split affine 𝚤quantum groups I ⋮ Formulae of \(\imath\)-divided powers in \(\mathbf{U}_q (\mathfrak{sl}_2)\). III ⋮ Hall algebras and quantum symmetric pairs of Kac-Moody type ⋮ Hall algebras and quantum symmetric pairs of Kac-Moody type II ⋮ Defining relations of quantum symmetric pair coideal subalgebras ⋮ Bivariate continuous q-Hermite polynomials and deformed quantum Serre relations ⋮ Serre-Lusztig relations for \(\imath\) quantum groups. II ⋮ A Drinfeld-type presentation of affine \(\imath\) quantum groups. II: Split BCFG type ⋮ Braid group symmetries on quasi-split \(\imath\)quantum groups via \(\imath\)Hall algebras ⋮ Serre-Lusztig relations for \({\iota}\) quantum groups. III

Cites Work

• Unnamed Item
• Quantum symmetric Kac-Moody pairs
• The subconstituent algebra of an association scheme. III
• Generalized \(q\)-Onsager algebras and boundary affine Toda field theories
• A new (in)finite-dimensional algebra for quantum integrable models
• Quantum symmetric pairs and their zonal spherical functions.
• Canonical bases arising from quantum symmetric pairs
• Universal K-matrix for quantum symmetric pairs
• Formulae of \(\iota\)-divided powers in \(\mathbf{U}_q(\mathfrak{sl}_2)\)
• Symmetric pairs for quantized enveloping algebras
• Generalized Onsager algebras
• 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
• Introduction to quantum groups

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