Formulae of \(\imath\)-divided powers in \(\mathbf{U}_q (\mathfrak{sl}_2)\). III

DOI10.1016/J.JALGEBRA.2022.12.001OpenAlexW4312083953MaRDI QIDQ2682815

Yanyan Li

Publication date: 1 February 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01051

zbMATH Keywords

\(\imath\)quantum groups\(\imath\)-divided powers

Mathematics Subject Classification ID

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

Related Items (1)

Finite Young wall model for representations of \(\imath\,\)quantum group \(\mathbf{U}^{\jmath}\)

Cites Work

• 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
• Formulae of \(\imath\)-divided powers in \(\mathbf{U}_q(\mathfrak{sl}_2)\). II
• On canonical bases for the Letzter algebra \(\mathbf{U}^\imath(\mathfrak{sl}_2)\)
• Serre-Lusztig relations for \(\imath\) quantum groups
• Positivity of Canonical Bases Under Comultiplication
• Positivity VS Negativity of Canonical Bases
• 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
• Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group

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